TY  - CONF
AU  - Devetaković, Mirjana
AU  - Ivanović, Jelena
AU  - Djordjević, Djordje
AU  - Popović, Nikola
PY  - 2023
UR  - https://raf.arh.bg.ac.rs/handle/123456789/2148
AB  - In this study, we present and analyse the case of the Workshop titled “A Geometric Adven ture in the World of Grasshopper”, realised in September 2023, at the University of Belgrade,
Faculty of Architecture, within the manifestation called “The Week with Architecture”. The
content of the Workshop has been derived from the elective course “Parametric Modelling”,
offered to the first year master students.
After briefly explaining the teaching context in which the Workshop occurred, we present
the content structure divided into four working days, three of which dedicated to introducing
various programming techniques in the Rhino software and its well-known plug-in Grasshop per, and the fourth day left for the Workshop exhibition completing. Aimed at introducing
programming beginners into basic techniques of algorithmic creation of architectural form,
this Workshop started with an in-house developed Grasshopper definition producing various
2D geometric patterns. Based on this simple definition the students learned the fundamental
elements of the visual algorithmic systems. As a result of first day they produced a range of
different geometric patterns based on the p1 symmetry repetition of circles and polygons on a
predefined rectangular grid. The second day of the Workshop was dedicated to the geometry
of spatial curves, and required from the participating students considerably more programming
understanding and an additional research of the field. The third Workshop day was character ized by an integration of the techniques of the first and the second Workshop day. In this final
programming exercise the participants had to use the geometric grid, in terms of distribution
of a chosen spatial curve.
This teaching activity resulted in excellent geometric models created by participating stu dents, exhibited in the form of prints, the last day of the Workshop. All the Workshop commu nication and information exchange was supported and saved in the specially created TEAMS
learning environment. A catalogue of student submissions is in the process of creation. The
Workshop influenced the teaching of the Elective course “Parametric modelling” in terms of
introducing new topics and rearranging selected teaching activities.
PB  - Pollack Press, Faculty of Engineering and Information Technology University of Péc
C3  - Abstract book for the 19th Miklós Iványi International PhD & DLA Symposium : architectural, engineering and information sciences, 2-3 November 2023 Hungary, Pécs
T1  - Enriching Architectural Education with Extracurricular Activities - the Case of the Geometry Adventure Workshop
UR  - https://hdl.handle.net/21.15107/rcub_raf_2148
ER  - 

@conference{
author = "Devetaković, Mirjana and Ivanović, Jelena and Djordjević, Djordje and Popović, Nikola",
year = "2023",
abstract = "In this study, we present and analyse the case of the Workshop titled “A Geometric Adven ture in the World of Grasshopper”, realised in September 2023, at the University of Belgrade,
Faculty of Architecture, within the manifestation called “The Week with Architecture”. The
content of the Workshop has been derived from the elective course “Parametric Modelling”,
offered to the first year master students.
After briefly explaining the teaching context in which the Workshop occurred, we present
the content structure divided into four working days, three of which dedicated to introducing
various programming techniques in the Rhino software and its well-known plug-in Grasshop per, and the fourth day left for the Workshop exhibition completing. Aimed at introducing
programming beginners into basic techniques of algorithmic creation of architectural form,
this Workshop started with an in-house developed Grasshopper definition producing various
2D geometric patterns. Based on this simple definition the students learned the fundamental
elements of the visual algorithmic systems. As a result of first day they produced a range of
different geometric patterns based on the p1 symmetry repetition of circles and polygons on a
predefined rectangular grid. The second day of the Workshop was dedicated to the geometry
of spatial curves, and required from the participating students considerably more programming
understanding and an additional research of the field. The third Workshop day was character ized by an integration of the techniques of the first and the second Workshop day. In this final
programming exercise the participants had to use the geometric grid, in terms of distribution
of a chosen spatial curve.
This teaching activity resulted in excellent geometric models created by participating stu dents, exhibited in the form of prints, the last day of the Workshop. All the Workshop commu nication and information exchange was supported and saved in the specially created TEAMS
learning environment. A catalogue of student submissions is in the process of creation. The
Workshop influenced the teaching of the Elective course “Parametric modelling” in terms of
introducing new topics and rearranging selected teaching activities.",
publisher = "Pollack Press, Faculty of Engineering and Information Technology University of Péc",
journal = "Abstract book for the 19th Miklós Iványi International PhD & DLA Symposium : architectural, engineering and information sciences, 2-3 November 2023 Hungary, Pécs",
title = "Enriching Architectural Education with Extracurricular Activities - the Case of the Geometry Adventure Workshop",
url = "https://hdl.handle.net/21.15107/rcub_raf_2148"
}

Devetaković, M., Ivanović, J., Djordjević, D.,& Popović, N.. (2023). Enriching Architectural Education with Extracurricular Activities - the Case of the Geometry Adventure Workshop. in Abstract book for the 19th Miklós Iványi International PhD & DLA Symposium : architectural, engineering and information sciences, 2-3 November 2023 Hungary, Pécs
Pollack Press, Faculty of Engineering and Information Technology University of Péc..
https://hdl.handle.net/21.15107/rcub_raf_2148

Devetaković M, Ivanović J, Djordjević D, Popović N. Enriching Architectural Education with Extracurricular Activities - the Case of the Geometry Adventure Workshop. in Abstract book for the 19th Miklós Iványi International PhD & DLA Symposium : architectural, engineering and information sciences, 2-3 November 2023 Hungary, Pécs. 2023;.
https://hdl.handle.net/21.15107/rcub_raf_2148 .

Devetaković, Mirjana, Ivanović, Jelena, Djordjević, Djordje, Popović, Nikola, "Enriching Architectural Education with Extracurricular Activities - the Case of the Geometry Adventure Workshop" in Abstract book for the 19th Miklós Iványi International PhD & DLA Symposium : architectural, engineering and information sciences, 2-3 November 2023 Hungary, Pécs (2023),
https://hdl.handle.net/21.15107/rcub_raf_2148 .

TY  - CONF
AU  - Mitrović, Djordje
AU  - Djordjević, Djordje
AU  - Devetaković, Mirjana
AU  - Djukanović, Gordana
PY  - 2023
UR  - https://raf.arh.bg.ac.rs/handle/123456789/1639
AB  - Previous subject-related research, that describes stylistic peculiarities of artefacts by taking into account their morphometric/geometric characteristics, explicates the results (used to differentiate them in terms of style they belong to) mainly descriptively – by evaluating the obtained data visually. The narrower aim of this Paper is to explicate the mentioned characteristics numerically/quantitatively by transposing stylistic-wise parameters (descriptors of fractal and non-fractal nature), previously investigated by the actual authors, into the form of dynamics of their values namely explicators. Therefore, the main research questions of this study are both how to express artefact morphology by using dynamics of its parameters and, thus, how to numerically/quantitatively identify architectural style concrete artefact belongs to. To achieve that scientifically, a triplet of capital samples (as the most distinctive elements among artefacts), namely their digital 3D models, are employed per each fundamental classical architectural order (Doric, Ionic, and Corinthian). The subject of this Paper is to establish relevant morphometric/geometric indicators not only in the form of explicators mentioned above, but qualifiers too, enabling so: to numerically express capital morphology, namely to quantitatively estimate levels of intra-similarity of capitals assumed to belong to the same order, and inter-dissimilarity of those assumed to belong to different ones. Both types of the established indicators refer to capital contours which are positioned in mutually equidistant transverse section planes (defined per each chosen capital sample of each of the analysed orders). The wider research aim refers to both: (a) a possibility to numerically/quantitatively identify order a concrete fragment of capital/artefact belongs to in terms of recognising it computationally (as confidently as possible from the mathematical probability point of view), and (b) to perform morphology-wise capital/artefact segmentation. Presented innovative methodology brings up a more reliable possibility to identify architectural order “stylistically unknown capital” belongs to – by using a newly introduced indicator (in the form of dynamics) to express its morphology numerically/quantitatively. Future research will be dealt with software-wise automation of stylistic decoding steps (rough capital classification and order-belonging estimation).
PB  - Niš : Faculty of Civil Engineering and Architecture, University of Niš
PB  - Niš : Serbian Academy of Sciences and Arts - Branch in Niš
C3  - Proceedings [of] The International Conference Synergy of Architecture & Civil Engineering, SINARG 2023, Niš (Serbia), September 14-15, 2023. Vol. 2
T1  - Towards Numerical Architectural Order Identification: Expressing Capital Morphology by Using Dynamics of Its Parameters
SP  - 886
EP  - 897
UR  - https://hdl.handle.net/21.15107/rcub_raf_1639
ER  - 

@conference{
author = "Mitrović, Djordje and Djordjević, Djordje and Devetaković, Mirjana and Djukanović, Gordana",
year = "2023",
abstract = "Previous subject-related research, that describes stylistic peculiarities of artefacts by taking into account their morphometric/geometric characteristics, explicates the results (used to differentiate them in terms of style they belong to) mainly descriptively – by evaluating the obtained data visually. The narrower aim of this Paper is to explicate the mentioned characteristics numerically/quantitatively by transposing stylistic-wise parameters (descriptors of fractal and non-fractal nature), previously investigated by the actual authors, into the form of dynamics of their values namely explicators. Therefore, the main research questions of this study are both how to express artefact morphology by using dynamics of its parameters and, thus, how to numerically/quantitatively identify architectural style concrete artefact belongs to. To achieve that scientifically, a triplet of capital samples (as the most distinctive elements among artefacts), namely their digital 3D models, are employed per each fundamental classical architectural order (Doric, Ionic, and Corinthian). The subject of this Paper is to establish relevant morphometric/geometric indicators not only in the form of explicators mentioned above, but qualifiers too, enabling so: to numerically express capital morphology, namely to quantitatively estimate levels of intra-similarity of capitals assumed to belong to the same order, and inter-dissimilarity of those assumed to belong to different ones. Both types of the established indicators refer to capital contours which are positioned in mutually equidistant transverse section planes (defined per each chosen capital sample of each of the analysed orders). The wider research aim refers to both: (a) a possibility to numerically/quantitatively identify order a concrete fragment of capital/artefact belongs to in terms of recognising it computationally (as confidently as possible from the mathematical probability point of view), and (b) to perform morphology-wise capital/artefact segmentation. Presented innovative methodology brings up a more reliable possibility to identify architectural order “stylistically unknown capital” belongs to – by using a newly introduced indicator (in the form of dynamics) to express its morphology numerically/quantitatively. Future research will be dealt with software-wise automation of stylistic decoding steps (rough capital classification and order-belonging estimation).",
publisher = "Niš : Faculty of Civil Engineering and Architecture, University of Niš, Niš : Serbian Academy of Sciences and Arts - Branch in Niš",
journal = "Proceedings [of] The International Conference Synergy of Architecture & Civil Engineering, SINARG 2023, Niš (Serbia), September 14-15, 2023. Vol. 2",
title = "Towards Numerical Architectural Order Identification: Expressing Capital Morphology by Using Dynamics of Its Parameters",
pages = "886-897",
url = "https://hdl.handle.net/21.15107/rcub_raf_1639"
}

Mitrović, D., Djordjević, D., Devetaković, M.,& Djukanović, G.. (2023). Towards Numerical Architectural Order Identification: Expressing Capital Morphology by Using Dynamics of Its Parameters. in Proceedings [of] The International Conference Synergy of Architecture & Civil Engineering, SINARG 2023, Niš (Serbia), September 14-15, 2023. Vol. 2
Niš : Faculty of Civil Engineering and Architecture, University of Niš., 886-897.
https://hdl.handle.net/21.15107/rcub_raf_1639

Mitrović D, Djordjević D, Devetaković M, Djukanović G. Towards Numerical Architectural Order Identification: Expressing Capital Morphology by Using Dynamics of Its Parameters. in Proceedings [of] The International Conference Synergy of Architecture & Civil Engineering, SINARG 2023, Niš (Serbia), September 14-15, 2023. Vol. 2. 2023;:886-897.
https://hdl.handle.net/21.15107/rcub_raf_1639 .

Mitrović, Djordje, Djordjević, Djordje, Devetaković, Mirjana, Djukanović, Gordana, "Towards Numerical Architectural Order Identification: Expressing Capital Morphology by Using Dynamics of Its Parameters" in Proceedings [of] The International Conference Synergy of Architecture & Civil Engineering, SINARG 2023, Niš (Serbia), September 14-15, 2023. Vol. 2 (2023):886-897,
https://hdl.handle.net/21.15107/rcub_raf_1639 .

TY  - CONF
AU  - Devetaković, Mirjana
AU  - Djordjević, Djordje
AU  - Popović, Nikola
AU  - Mitrović, Djordje
AU  - Djukanović, Gordana
AU  - Mišić, Slobodan
PY  - 2023
UR  - https://raf.arh.bg.ac.rs/handle/123456789/1728
AB  - The magic world of mirrors, their application, integration in interiors and exposure in exteriors, intrigues architectural designers and artists for a long time. Inspired with wide recent usages of mirrors in innovative architectural designs practice, as well as in arts, and grounded our understanding on well-known geometric/optic principles of mirroring, the authors conceptualized a Workshop that was offered to students of architecture, forestry and applied arts, as an extracurricular two-weeks activity. After briefly introducing a historical/chronological overview of mirrors application in architectural design practice and applied art, relevant theoretical aspects of mirroring were demonstrated on the Workshop. The participating students were offered two possibilities for integration of mirrors in their design-outcomes: to experiment with analogue models and digital/computing ones. For that reason, a large amount of small glass mirror parts was provided. Also, functional parametric families of digital mirrors (planar, concave and convex) were developed especially for the workshop and offered on-line. Particular foci of this paper are on both: the teaching methodology that was exclusively prepared for the Workshop, and specific usage of experimentation (to trigger unusual ideas and to utilize relevant familiar methods and procedural activities in the new – this context). In the discussion part of this study, a systematized overview of the Workshop results and its analysis from geometric and semantic point of view are given. The results are divided into: first interim critique, second interim critique and final submission. Through a generalization of conclusions, the lessons learned, namely, the level of subject-related geometric knowledge acquired from this unique teaching experience are reviewed, and an analysis of their possible applications in other pedagogic contexts related to geometry-teaching is presented.
PB  - Novi Sad : Faculty of Technical Sciences, University of Novi Sad
PB  - Belgrade : Serbian Society for Geometry and Graphics (SUGIG)
C3  - Proceedings / The 9th International Scientific Conference on Geometry, Graphics and Design in the Digital Age, MoNGeomatrija 2023, June 7-10, 2023, Novi Sad, Serbia
T1  - On the Other Side of Mirror – A Workshop on Incorporating Geometry of Mirroring in Architectural Practice and Applied Arts
SP  - 309
EP  - 322
UR  - https://hdl.handle.net/21.15107/rcub_raf_1728
ER  - 

@conference{
author = "Devetaković, Mirjana and Djordjević, Djordje and Popović, Nikola and Mitrović, Djordje and Djukanović, Gordana and Mišić, Slobodan",
year = "2023",
abstract = "The magic world of mirrors, their application, integration in interiors and exposure in exteriors, intrigues architectural designers and artists for a long time. Inspired with wide recent usages of mirrors in innovative architectural designs practice, as well as in arts, and grounded our understanding on well-known geometric/optic principles of mirroring, the authors conceptualized a Workshop that was offered to students of architecture, forestry and applied arts, as an extracurricular two-weeks activity. After briefly introducing a historical/chronological overview of mirrors application in architectural design practice and applied art, relevant theoretical aspects of mirroring were demonstrated on the Workshop. The participating students were offered two possibilities for integration of mirrors in their design-outcomes: to experiment with analogue models and digital/computing ones. For that reason, a large amount of small glass mirror parts was provided. Also, functional parametric families of digital mirrors (planar, concave and convex) were developed especially for the workshop and offered on-line. Particular foci of this paper are on both: the teaching methodology that was exclusively prepared for the Workshop, and specific usage of experimentation (to trigger unusual ideas and to utilize relevant familiar methods and procedural activities in the new – this context). In the discussion part of this study, a systematized overview of the Workshop results and its analysis from geometric and semantic point of view are given. The results are divided into: first interim critique, second interim critique and final submission. Through a generalization of conclusions, the lessons learned, namely, the level of subject-related geometric knowledge acquired from this unique teaching experience are reviewed, and an analysis of their possible applications in other pedagogic contexts related to geometry-teaching is presented.",
publisher = "Novi Sad : Faculty of Technical Sciences, University of Novi Sad, Belgrade : Serbian Society for Geometry and Graphics (SUGIG)",
journal = "Proceedings / The 9th International Scientific Conference on Geometry, Graphics and Design in the Digital Age, MoNGeomatrija 2023, June 7-10, 2023, Novi Sad, Serbia",
title = "On the Other Side of Mirror – A Workshop on Incorporating Geometry of Mirroring in Architectural Practice and Applied Arts",
pages = "309-322",
url = "https://hdl.handle.net/21.15107/rcub_raf_1728"
}

Devetaković, M., Djordjević, D., Popović, N., Mitrović, D., Djukanović, G.,& Mišić, S.. (2023). On the Other Side of Mirror – A Workshop on Incorporating Geometry of Mirroring in Architectural Practice and Applied Arts. in Proceedings / The 9th International Scientific Conference on Geometry, Graphics and Design in the Digital Age, MoNGeomatrija 2023, June 7-10, 2023, Novi Sad, Serbia
Novi Sad : Faculty of Technical Sciences, University of Novi Sad., 309-322.
https://hdl.handle.net/21.15107/rcub_raf_1728

Devetaković M, Djordjević D, Popović N, Mitrović D, Djukanović G, Mišić S. On the Other Side of Mirror – A Workshop on Incorporating Geometry of Mirroring in Architectural Practice and Applied Arts. in Proceedings / The 9th International Scientific Conference on Geometry, Graphics and Design in the Digital Age, MoNGeomatrija 2023, June 7-10, 2023, Novi Sad, Serbia. 2023;:309-322.
https://hdl.handle.net/21.15107/rcub_raf_1728 .

Devetaković, Mirjana, Djordjević, Djordje, Popović, Nikola, Mitrović, Djordje, Djukanović, Gordana, Mišić, Slobodan, "On the Other Side of Mirror – A Workshop on Incorporating Geometry of Mirroring in Architectural Practice and Applied Arts" in Proceedings / The 9th International Scientific Conference on Geometry, Graphics and Design in the Digital Age, MoNGeomatrija 2023, June 7-10, 2023, Novi Sad, Serbia (2023):309-322,
https://hdl.handle.net/21.15107/rcub_raf_1728 .

TY  - CONF
AU  - Devetaković, Mirjana
AU  - Djordjević, Djordje
AU  - Mitrović, Djordje
PY  - 2023
UR  - https://raf.arh.bg.ac.rs/handle/123456789/2065
AB  - Focusing proposed paper on the Architecture, Engineering, Construction and recently included Operation (AECO) sector, we start from a statement that this sector is a step behind other manufacturing domains in overall application of digital technologies and artificial intelligence. With the main motivation to examine ways of bridging the digital gap, we consider adoption of Building Information Modelling (BIM) as one of reliable indications of the state of digitalization in the sector. After briefly introducing general features of BIM technology, this study focuses on the actual situation in Serbia, searching for examples of the most advanced applications and developments in practice. Methodologically the study is qualitative and the research is based on examination of cases, where the observed sample has been created from the application examples presented within the series of online sessions titled “BIM in Practice Serbia”, organized by the Group for BIM Technology of the Chamber of Commerce of Serbia. Consisting of twenty examples of various advanced applications of BIM in Serbian practice, this sample is formed “by difference”, looking for various cutting-edge applications. The selected examples of BIM application in Serbia are firstly structured by area of application (design, infrastructure, scan-to-BIM, investors’ adoptions, etc.), then analysed in detail. The results obtained indicate that within the Serbian market we could identify advanced BIM usages, and especially valuable development results, represented by the BEXEL Manager software, developed in Serbia and spread and localized worldwide. Based on the obtained results, we could predict the future of BIM application in Serbia, but also could highlight the contribution of Serbian development efforts to the global AECO sector.
PB  - Belgrade : University of Belgrade, Faculty of Architecture
C3  - Keeping up with technologies to imagine and build together sustainable, inclusive, and beautiful cities : book of abstracts / 8th International Academic Conference on Places and Technologies, Belgrade
T1  - Digitalization of the AECO Sector – Accomplishments in BIM Application and Development in Serbia
SP  - 92
EP  - 92
UR  - https://hdl.handle.net/21.15107/rcub_raf_2065
ER  - 

@conference{
author = "Devetaković, Mirjana and Djordjević, Djordje and Mitrović, Djordje",
year = "2023",
abstract = "Focusing proposed paper on the Architecture, Engineering, Construction and recently included Operation (AECO) sector, we start from a statement that this sector is a step behind other manufacturing domains in overall application of digital technologies and artificial intelligence. With the main motivation to examine ways of bridging the digital gap, we consider adoption of Building Information Modelling (BIM) as one of reliable indications of the state of digitalization in the sector. After briefly introducing general features of BIM technology, this study focuses on the actual situation in Serbia, searching for examples of the most advanced applications and developments in practice. Methodologically the study is qualitative and the research is based on examination of cases, where the observed sample has been created from the application examples presented within the series of online sessions titled “BIM in Practice Serbia”, organized by the Group for BIM Technology of the Chamber of Commerce of Serbia. Consisting of twenty examples of various advanced applications of BIM in Serbian practice, this sample is formed “by difference”, looking for various cutting-edge applications. The selected examples of BIM application in Serbia are firstly structured by area of application (design, infrastructure, scan-to-BIM, investors’ adoptions, etc.), then analysed in detail. The results obtained indicate that within the Serbian market we could identify advanced BIM usages, and especially valuable development results, represented by the BEXEL Manager software, developed in Serbia and spread and localized worldwide. Based on the obtained results, we could predict the future of BIM application in Serbia, but also could highlight the contribution of Serbian development efforts to the global AECO sector.",
publisher = "Belgrade : University of Belgrade, Faculty of Architecture",
journal = "Keeping up with technologies to imagine and build together sustainable, inclusive, and beautiful cities : book of abstracts / 8th International Academic Conference on Places and Technologies, Belgrade",
title = "Digitalization of the AECO Sector – Accomplishments in BIM Application and Development in Serbia",
pages = "92-92",
url = "https://hdl.handle.net/21.15107/rcub_raf_2065"
}

Devetaković, M., Djordjević, D.,& Mitrović, D.. (2023). Digitalization of the AECO Sector – Accomplishments in BIM Application and Development in Serbia. in Keeping up with technologies to imagine and build together sustainable, inclusive, and beautiful cities : book of abstracts / 8th International Academic Conference on Places and Technologies, Belgrade
Belgrade : University of Belgrade, Faculty of Architecture., 92-92.
https://hdl.handle.net/21.15107/rcub_raf_2065

Devetaković M, Djordjević D, Mitrović D. Digitalization of the AECO Sector – Accomplishments in BIM Application and Development in Serbia. in Keeping up with technologies to imagine and build together sustainable, inclusive, and beautiful cities : book of abstracts / 8th International Academic Conference on Places and Technologies, Belgrade. 2023;:92-92.
https://hdl.handle.net/21.15107/rcub_raf_2065 .

Devetaković, Mirjana, Djordjević, Djordje, Mitrović, Djordje, "Digitalization of the AECO Sector – Accomplishments in BIM Application and Development in Serbia" in Keeping up with technologies to imagine and build together sustainable, inclusive, and beautiful cities : book of abstracts / 8th International Academic Conference on Places and Technologies, Belgrade (2023):92-92,
https://hdl.handle.net/21.15107/rcub_raf_2065 .

TY  - CONF
AU  - Mitrovic, Djordje
AU  - Djordjevic, Djordje
AU  - Devetakovic, Mirjana
AU  - Djukanovic, Gordana
PY  - 2023
UR  - https://raf.arh.bg.ac.rs/handle/123456789/1628
AB  - In most cases, artefacts are differentiated in terms of style they belong to – mainly visually, not mathematically. So, the main research questions of this study are both how to numerically encode stylistic regularities (peculiarities) as geometric indicators of artefacts morphology and how to decode them, namely to identify architectural style those artefacts belong to. Columns, namely their capitals are chosen as the most distinctive elements among artefacts. To elaborate on the validity of the defined principles of the aim-related methodology, a few representatives (capital samples) from each of three fundamental classical architectural orders (Doric, Ionic, and Corinthian) are used. The subject of this Paper is to establish relevant indicators of capital qualification, capital classification, and thus, referred architectural order identification. The verification of those indicators is performed by processing two sets of capitals contours (that belong to the mutually equidistant transverse and equiangular radial section planes) of each of the selected samples (namely digital 3D models). The narrower research aim is to point out that it is possible to encode not only chosen but also any other capital – by using the mentioned indicators of fractal and non-fractal nature (as a control one). The wider research aim refers to a possibility to identify order a concrete fragment of capital belongs to in terms of recognising it computationally (as confidently as possible from the mathematical probability point of view) based on the established research methodology principles. Finally, it is possible to conclude that changes of the analysed indicators trendlines behaviour (expressed by changes of its slope, roughness, continuation, etc.) accurately/precisely describe morphology-wise variations of a form that could point out subject-related stylistic variation, as well. So, this Paper demonstrates not only the fact that architectural orders capitals are true fractal objects, but rather how fractal analysis as a tool can be used to scientifically numerically encode/decode their certain characteristics (fractal features) of single- or multi-scale nature.
PB  - Novi Sad : Faculty of Technical Sciences, University of Novi Sad
PB  - Belgrade : Serbian Society for Geometry and Graphics (SUGIG)
C3  - Proceedings / The 9th International Scientific Conference on Geometry, Graphics and Design in the Digital Age, MoNGeomatrija 2023, June 7-10, 2023, Novi Sad, Serbia
T1  - Encoding/Decoding Capitals of Classical Architectural Orders by Using Fractal Geometry: Establishing Methodology
SP  - 153
EP  - 167
UR  - https://hdl.handle.net/21.15107/rcub_raf_1628
ER  - 

@conference{
author = "Mitrovic, Djordje and Djordjevic, Djordje and Devetakovic, Mirjana and Djukanovic, Gordana",
year = "2023",
abstract = "In most cases, artefacts are differentiated in terms of style they belong to – mainly visually, not mathematically. So, the main research questions of this study are both how to numerically encode stylistic regularities (peculiarities) as geometric indicators of artefacts morphology and how to decode them, namely to identify architectural style those artefacts belong to. Columns, namely their capitals are chosen as the most distinctive elements among artefacts. To elaborate on the validity of the defined principles of the aim-related methodology, a few representatives (capital samples) from each of three fundamental classical architectural orders (Doric, Ionic, and Corinthian) are used. The subject of this Paper is to establish relevant indicators of capital qualification, capital classification, and thus, referred architectural order identification. The verification of those indicators is performed by processing two sets of capitals contours (that belong to the mutually equidistant transverse and equiangular radial section planes) of each of the selected samples (namely digital 3D models). The narrower research aim is to point out that it is possible to encode not only chosen but also any other capital – by using the mentioned indicators of fractal and non-fractal nature (as a control one). The wider research aim refers to a possibility to identify order a concrete fragment of capital belongs to in terms of recognising it computationally (as confidently as possible from the mathematical probability point of view) based on the established research methodology principles. Finally, it is possible to conclude that changes of the analysed indicators trendlines behaviour (expressed by changes of its slope, roughness, continuation, etc.) accurately/precisely describe morphology-wise variations of a form that could point out subject-related stylistic variation, as well. So, this Paper demonstrates not only the fact that architectural orders capitals are true fractal objects, but rather how fractal analysis as a tool can be used to scientifically numerically encode/decode their certain characteristics (fractal features) of single- or multi-scale nature.",
publisher = "Novi Sad : Faculty of Technical Sciences, University of Novi Sad, Belgrade : Serbian Society for Geometry and Graphics (SUGIG)",
journal = "Proceedings / The 9th International Scientific Conference on Geometry, Graphics and Design in the Digital Age, MoNGeomatrija 2023, June 7-10, 2023, Novi Sad, Serbia",
title = "Encoding/Decoding Capitals of Classical Architectural Orders by Using Fractal Geometry: Establishing Methodology",
pages = "153-167",
url = "https://hdl.handle.net/21.15107/rcub_raf_1628"
}

Mitrovic, D., Djordjevic, D., Devetakovic, M.,& Djukanovic, G.. (2023). Encoding/Decoding Capitals of Classical Architectural Orders by Using Fractal Geometry: Establishing Methodology. in Proceedings / The 9th International Scientific Conference on Geometry, Graphics and Design in the Digital Age, MoNGeomatrija 2023, June 7-10, 2023, Novi Sad, Serbia
Novi Sad : Faculty of Technical Sciences, University of Novi Sad., 153-167.
https://hdl.handle.net/21.15107/rcub_raf_1628

Mitrovic D, Djordjevic D, Devetakovic M, Djukanovic G. Encoding/Decoding Capitals of Classical Architectural Orders by Using Fractal Geometry: Establishing Methodology. in Proceedings / The 9th International Scientific Conference on Geometry, Graphics and Design in the Digital Age, MoNGeomatrija 2023, June 7-10, 2023, Novi Sad, Serbia. 2023;:153-167.
https://hdl.handle.net/21.15107/rcub_raf_1628 .

Mitrovic, Djordje, Djordjevic, Djordje, Devetakovic, Mirjana, Djukanovic, Gordana, "Encoding/Decoding Capitals of Classical Architectural Orders by Using Fractal Geometry: Establishing Methodology" in Proceedings / The 9th International Scientific Conference on Geometry, Graphics and Design in the Digital Age, MoNGeomatrija 2023, June 7-10, 2023, Novi Sad, Serbia (2023):153-167,
https://hdl.handle.net/21.15107/rcub_raf_1628 .

TY  - CONF
AU  - Djukanovic, Gordana
AU  - Djordjevic, Djordje
AU  - Devetakovic, Mirjana
AU  - Mitrovic, Djordje
PY  - 2023
UR  - https://raf.arh.bg.ac.rs/handle/123456789/1729
AB  - In this paper, an elliptical pencil of circles is mapped by homology (perspective collineation) into a parabolic-parabolic pencil of hyperbolas because it has two by two common points 1 = 2 and 3 = 4 in infinity, i.e., four overlapping points in the antipode. The mapping also includes the mapping of degenerated conics decomposed into corresponding pairs of straight lines. The elliptical pencil of circles (the ellipses on plane 1) is mapped into a hyperbolic pencil (on plane 2) by perspective collineation for pole S1. The vanishing line v1 intersects all the circles of the pencil so that by homology all the circles are mapped into hyperbolas. To apply supersymmetry to the obtained pencils, the angle between plane 1 and plane 2 must be 45°. The pencil of hyperbolas is mapped by supersymmetry into a pencil of higher-order curves. The obtained pencils are further mapped by inversion and then again by supersymmetry to obtain higher-order curves rich in different shapes. In the second example, the elliptical pencil of circles is placed to the vanishing line v1 so that by homology, it is mapped into a pencil of conics containing an ellipse (circle 1 does not intersect the vanishing line), a parabola (circle 2 touches the vanishing line), a hyperbola (circle 3 intersects the vanishing line). The pencil of conics is elliptical-parabolic because it has two real and separate points and two infinite, i.e., two overlapping points in the antipode. This pencil of conic is also mapped by supersymmetry into a pencil of higher-order curves that intersect at the same number and type of base points as the starting pencil. Higher order curves obtained by mapping are rational line curves.
PB  - Novi Sad : Faculty of Technical Sciences, University of Novi Sad
PB  - Belgrade : Serbian Society for Geometry and Graphics (SUGIG)
C3  - Proceedings / The 9th International Scientific Conference on Geometry, Graphics and Design in the Digital Age, MoNGeomatrija 2023, June 7-10, 2023, Novi Sad, Serbia
T1  - Transformation of Pencils of Circles into Pencils of Conics and These into Pencils of Higher-Order Curves
SP  - 133
EP  - 141
UR  - https://hdl.handle.net/21.15107/rcub_raf_1729
ER  - 

@conference{
author = "Djukanovic, Gordana and Djordjevic, Djordje and Devetakovic, Mirjana and Mitrovic, Djordje",
year = "2023",
abstract = "In this paper, an elliptical pencil of circles is mapped by homology (perspective collineation) into a parabolic-parabolic pencil of hyperbolas because it has two by two common points 1 = 2 and 3 = 4 in infinity, i.e., four overlapping points in the antipode. The mapping also includes the mapping of degenerated conics decomposed into corresponding pairs of straight lines. The elliptical pencil of circles (the ellipses on plane 1) is mapped into a hyperbolic pencil (on plane 2) by perspective collineation for pole S1. The vanishing line v1 intersects all the circles of the pencil so that by homology all the circles are mapped into hyperbolas. To apply supersymmetry to the obtained pencils, the angle between plane 1 and plane 2 must be 45°. The pencil of hyperbolas is mapped by supersymmetry into a pencil of higher-order curves. The obtained pencils are further mapped by inversion and then again by supersymmetry to obtain higher-order curves rich in different shapes. In the second example, the elliptical pencil of circles is placed to the vanishing line v1 so that by homology, it is mapped into a pencil of conics containing an ellipse (circle 1 does not intersect the vanishing line), a parabola (circle 2 touches the vanishing line), a hyperbola (circle 3 intersects the vanishing line). The pencil of conics is elliptical-parabolic because it has two real and separate points and two infinite, i.e., two overlapping points in the antipode. This pencil of conic is also mapped by supersymmetry into a pencil of higher-order curves that intersect at the same number and type of base points as the starting pencil. Higher order curves obtained by mapping are rational line curves.",
publisher = "Novi Sad : Faculty of Technical Sciences, University of Novi Sad, Belgrade : Serbian Society for Geometry and Graphics (SUGIG)",
journal = "Proceedings / The 9th International Scientific Conference on Geometry, Graphics and Design in the Digital Age, MoNGeomatrija 2023, June 7-10, 2023, Novi Sad, Serbia",
title = "Transformation of Pencils of Circles into Pencils of Conics and These into Pencils of Higher-Order Curves",
pages = "133-141",
url = "https://hdl.handle.net/21.15107/rcub_raf_1729"
}

Djukanovic, G., Djordjevic, D., Devetakovic, M.,& Mitrovic, D.. (2023). Transformation of Pencils of Circles into Pencils of Conics and These into Pencils of Higher-Order Curves. in Proceedings / The 9th International Scientific Conference on Geometry, Graphics and Design in the Digital Age, MoNGeomatrija 2023, June 7-10, 2023, Novi Sad, Serbia
Novi Sad : Faculty of Technical Sciences, University of Novi Sad., 133-141.
https://hdl.handle.net/21.15107/rcub_raf_1729

Djukanovic G, Djordjevic D, Devetakovic M, Mitrovic D. Transformation of Pencils of Circles into Pencils of Conics and These into Pencils of Higher-Order Curves. in Proceedings / The 9th International Scientific Conference on Geometry, Graphics and Design in the Digital Age, MoNGeomatrija 2023, June 7-10, 2023, Novi Sad, Serbia. 2023;:133-141.
https://hdl.handle.net/21.15107/rcub_raf_1729 .

Djukanovic, Gordana, Djordjevic, Djordje, Devetakovic, Mirjana, Mitrovic, Djordje, "Transformation of Pencils of Circles into Pencils of Conics and These into Pencils of Higher-Order Curves" in Proceedings / The 9th International Scientific Conference on Geometry, Graphics and Design in the Digital Age, MoNGeomatrija 2023, June 7-10, 2023, Novi Sad, Serbia (2023):133-141,
https://hdl.handle.net/21.15107/rcub_raf_1729 .

TY  - CONF
AU  - Đorđević, Đorđe
AU  - Mitrović, Đorđe
AU  - Devetaković, Mirjana
AU  - Nikolić, Marko
AU  - Popović, Nikola
PY  - 2022
UR  - https://raf.arh.bg.ac.rs/handle/123456789/1730
AB  - Mnoge zemlje širom sveta ubrzano usvajaju sopstvene – nacionalne zakonske okvire vezane za upravljanje i upotrebu bespilotnih letelica/sistema (tj. pripadajuće regulatorne i kontrolne mehanizme) i pokušavaju da ih kontinuirano unapredjuju, kako bi na vreme bile sprečene raznovrsne neovlašćene i bezbednosno opasne aktivnosti najrazličitije prirode (izmedju ostalog, i one na socio-psihološkom planu) i to blagovremenim identifikovanjem što većeg broja potencijalno ugroženih strana. Aktuelno predmetno srpsko zakonodavstvo generalno je uskladjeno sa onim u EU i nastalo je kombinovanjem direktiva EASA-e i DCV-a, kako bi se zadovoljili i nacionalni zahtevi. Striktnost u njihovom sprovodjenju, uključujući i različite vidove bezbednosnih ograničenja (zakonodavne i birokratske prirode), posebno kada su aktivnosti bespilotnih letelica/sistema planirane u centralnim gradskim zonama ili uslovno zabranjenim zonama za letenje, prepoznati su u ovom radu kao glavni faktori koji negativno utiču na efektivnost i efikasnost njihovog korišćenja u arhitekturi/urbanizmu – dovodeći, čak, u pitanje i realizaciju tih aktivnosti (zbog izuzetno „osetljivih”, složenih i dugotrajnih procedura autorizacije letova, kao i propratnih zahteva administrativne prirode). Glavni cilj istraživanja je identifikovanje onih bezbednosnih aspekata delovanja regulatornih i kontrolnih mehanizama koji negativno utiču na sveukupno efektivno/efikasno korišćenje bespilotnih letelica/sistema u domenu arhitektonsko-urbanističke prakse, sa posebnim osvrtom na uticaj tih mehanizama na razmatrane pre-letačke, letačke i post-letačke aktivnosti. Da bi navedeno bilo i realizovano na naučnoj osnovi, definisana je odgovarajuća istraživačka metodologija: postavljeni su kriterijumi valorizacije, istraženo relevantno nacionalno zakonodavstvo sa predmetnog aspekta i precizno identifikovani problemi bezbednosne prirode. Potom je izvršena njihova kategorizacija da bi, najzad, rezultati istraživanja bili medjusobno ukrštani, diskutovani i, posledično, definisani naučno-održivi zaključci.
PB  - Beograd : Univerzitet u Beogradu, Fakultet bezbednosti
C3  - Zbornik radova [Elektronski izvor] / Druga naučna konferencija "Urbana bezbednost i urbani razvoj" [Beograd, 2022]
T1  - Negativan uticaj bezbednosnih aspekata nacionalne legislative na efektivno/efikasno korišćenje bespilotnih letelica/sistema u arhitekturi/urbanizmu
SP  - 172
EP  - 184
UR  - https://hdl.handle.net/21.15107/rcub_raf_1730
ER  - 

@conference{
author = "Đorđević, Đorđe and Mitrović, Đorđe and Devetaković, Mirjana and Nikolić, Marko and Popović, Nikola",
year = "2022",
abstract = "Mnoge zemlje širom sveta ubrzano usvajaju sopstvene – nacionalne zakonske okvire vezane za upravljanje i upotrebu bespilotnih letelica/sistema (tj. pripadajuće regulatorne i kontrolne mehanizme) i pokušavaju da ih kontinuirano unapredjuju, kako bi na vreme bile sprečene raznovrsne neovlašćene i bezbednosno opasne aktivnosti najrazličitije prirode (izmedju ostalog, i one na socio-psihološkom planu) i to blagovremenim identifikovanjem što većeg broja potencijalno ugroženih strana. Aktuelno predmetno srpsko zakonodavstvo generalno je uskladjeno sa onim u EU i nastalo je kombinovanjem direktiva EASA-e i DCV-a, kako bi se zadovoljili i nacionalni zahtevi. Striktnost u njihovom sprovodjenju, uključujući i različite vidove bezbednosnih ograničenja (zakonodavne i birokratske prirode), posebno kada su aktivnosti bespilotnih letelica/sistema planirane u centralnim gradskim zonama ili uslovno zabranjenim zonama za letenje, prepoznati su u ovom radu kao glavni faktori koji negativno utiču na efektivnost i efikasnost njihovog korišćenja u arhitekturi/urbanizmu – dovodeći, čak, u pitanje i realizaciju tih aktivnosti (zbog izuzetno „osetljivih”, složenih i dugotrajnih procedura autorizacije letova, kao i propratnih zahteva administrativne prirode). Glavni cilj istraživanja je identifikovanje onih bezbednosnih aspekata delovanja regulatornih i kontrolnih mehanizama koji negativno utiču na sveukupno efektivno/efikasno korišćenje bespilotnih letelica/sistema u domenu arhitektonsko-urbanističke prakse, sa posebnim osvrtom na uticaj tih mehanizama na razmatrane pre-letačke, letačke i post-letačke aktivnosti. Da bi navedeno bilo i realizovano na naučnoj osnovi, definisana je odgovarajuća istraživačka metodologija: postavljeni su kriterijumi valorizacije, istraženo relevantno nacionalno zakonodavstvo sa predmetnog aspekta i precizno identifikovani problemi bezbednosne prirode. Potom je izvršena njihova kategorizacija da bi, najzad, rezultati istraživanja bili medjusobno ukrštani, diskutovani i, posledično, definisani naučno-održivi zaključci.",
publisher = "Beograd : Univerzitet u Beogradu, Fakultet bezbednosti",
journal = "Zbornik radova [Elektronski izvor] / Druga naučna konferencija "Urbana bezbednost i urbani razvoj" [Beograd, 2022]",
title = "Negativan uticaj bezbednosnih aspekata nacionalne legislative na efektivno/efikasno korišćenje bespilotnih letelica/sistema u arhitekturi/urbanizmu",
pages = "172-184",
url = "https://hdl.handle.net/21.15107/rcub_raf_1730"
}

Đorđević, Đ., Mitrović, Đ., Devetaković, M., Nikolić, M.,& Popović, N.. (2022). Negativan uticaj bezbednosnih aspekata nacionalne legislative na efektivno/efikasno korišćenje bespilotnih letelica/sistema u arhitekturi/urbanizmu. in Zbornik radova [Elektronski izvor] / Druga naučna konferencija "Urbana bezbednost i urbani razvoj" [Beograd, 2022]
Beograd : Univerzitet u Beogradu, Fakultet bezbednosti., 172-184.
https://hdl.handle.net/21.15107/rcub_raf_1730

Đorđević Đ, Mitrović Đ, Devetaković M, Nikolić M, Popović N. Negativan uticaj bezbednosnih aspekata nacionalne legislative na efektivno/efikasno korišćenje bespilotnih letelica/sistema u arhitekturi/urbanizmu. in Zbornik radova [Elektronski izvor] / Druga naučna konferencija "Urbana bezbednost i urbani razvoj" [Beograd, 2022]. 2022;:172-184.
https://hdl.handle.net/21.15107/rcub_raf_1730 .

Đorđević, Đorđe, Mitrović, Đorđe, Devetaković, Mirjana, Nikolić, Marko, Popović, Nikola, "Negativan uticaj bezbednosnih aspekata nacionalne legislative na efektivno/efikasno korišćenje bespilotnih letelica/sistema u arhitekturi/urbanizmu" in Zbornik radova [Elektronski izvor] / Druga naučna konferencija "Urbana bezbednost i urbani razvoj" [Beograd, 2022] (2022):172-184,
https://hdl.handle.net/21.15107/rcub_raf_1730 .

TY  - CONF
AU  - Djordjevic, Djordje
AU  - Devetakovic, Mirjana
AU  - Mitrovic, Djordje
PY  - 2022
UR  - https://raf.arh.bg.ac.rs/handle/123456789/1643
AB  - Worldwide quickly enacted UAV/UAS legislative is permanently improving to prevent unpredicted and potentially hazardous activities. Serbian regulations have generally been harmonized with those of the EU and strictly implemented. This Paper investigates Serbian regulatory mechanisms negatively affecting surveying effectivity/efficiency. Respecting the methodology, valorisation criteria are set and problems identified. Research results are graphically presented to mutually compare them and obtain sustainable conclusions.
PB  - Pavia : Pavia University Press
C3  - D-SITE, Drones - Systems of Information on Cultural Heritage for a spatial and social investigation, Vol. 2, [part of the series “Prospettive multiple: studi di ingegneria, architettura e arte”], Pavia, Italy
T1  - Regulatory and Controlling Mechanisms on UAV/UAS that Influence Efficient Architectural Heritage Praxis: Actual Situation in Serbia
SP  - 260
EP  - 269
UR  - https://hdl.handle.net/21.15107/rcub_raf_1643
ER  - 

@conference{
author = "Djordjevic, Djordje and Devetakovic, Mirjana and Mitrovic, Djordje",
year = "2022",
abstract = "Worldwide quickly enacted UAV/UAS legislative is permanently improving to prevent unpredicted and potentially hazardous activities. Serbian regulations have generally been harmonized with those of the EU and strictly implemented. This Paper investigates Serbian regulatory mechanisms negatively affecting surveying effectivity/efficiency. Respecting the methodology, valorisation criteria are set and problems identified. Research results are graphically presented to mutually compare them and obtain sustainable conclusions.",
publisher = "Pavia : Pavia University Press",
journal = "D-SITE, Drones - Systems of Information on Cultural Heritage for a spatial and social investigation, Vol. 2, [part of the series “Prospettive multiple: studi di ingegneria, architettura e arte”], Pavia, Italy",
title = "Regulatory and Controlling Mechanisms on UAV/UAS that Influence Efficient Architectural Heritage Praxis: Actual Situation in Serbia",
pages = "260-269",
url = "https://hdl.handle.net/21.15107/rcub_raf_1643"
}

Djordjevic, D., Devetakovic, M.,& Mitrovic, D.. (2022). Regulatory and Controlling Mechanisms on UAV/UAS that Influence Efficient Architectural Heritage Praxis: Actual Situation in Serbia. in D-SITE, Drones - Systems of Information on Cultural Heritage for a spatial and social investigation, Vol. 2, [part of the series “Prospettive multiple: studi di ingegneria, architettura e arte”], Pavia, Italy
Pavia : Pavia University Press., 260-269.
https://hdl.handle.net/21.15107/rcub_raf_1643

Djordjevic D, Devetakovic M, Mitrovic D. Regulatory and Controlling Mechanisms on UAV/UAS that Influence Efficient Architectural Heritage Praxis: Actual Situation in Serbia. in D-SITE, Drones - Systems of Information on Cultural Heritage for a spatial and social investigation, Vol. 2, [part of the series “Prospettive multiple: studi di ingegneria, architettura e arte”], Pavia, Italy. 2022;:260-269.
https://hdl.handle.net/21.15107/rcub_raf_1643 .

Djordjevic, Djordje, Devetakovic, Mirjana, Mitrovic, Djordje, "Regulatory and Controlling Mechanisms on UAV/UAS that Influence Efficient Architectural Heritage Praxis: Actual Situation in Serbia" in D-SITE, Drones - Systems of Information on Cultural Heritage for a spatial and social investigation, Vol. 2, [part of the series “Prospettive multiple: studi di ingegneria, architettura e arte”], Pavia, Italy (2022):260-269,
https://hdl.handle.net/21.15107/rcub_raf_1643 .

TY  - JOUR
AU  - Djordjevic, Djordje
AU  - Devetakovic Radojevic, Mirjana
AU  - Popovic, Nikola
PY  - 2021
UR  - https://raf.arh.bg.ac.rs/handle/123456789/1273
AB  - An angular size-illusion refers to a contradictory effect related to a seeming size-decrease of focused objects as the observer approaches them. This paper continues the research in this field, trying to establish fundamental principles of how to: (a) efficiently perform an on-photo restitution of an illusion's behaviour (expressed by illusion descriptors) when it is experienced in architectural/urban spaces during movement under the influence of available triggers (represented by illusion determinants of physical nature), and (b) manage it computationally so as to be sustainable for contemporary professional practice. To explain that conceptually, one simple architectural/urban matrix is chosen and digitally photographed. Images are photogrammetrically processed and determinants-related data obtained. Subsequently, descriptors-related outputs are calculated by applying derived mathematical equations (expressed in function of those determinants-related data). Then, behaviour-charts are created and corresponding illusion-characteristics read-off. Finally, it is illustrated how to manage (intentionally modify) the restituted behaviour by varying values of acquired determinants-related data. Given results allow also to "design a new illusion" (to programme and control it) by simulating in digital VR/AR environments. Thus, any cause of unwanted/unpredictable visual impression degradations of important architectural/urban structures can be prevented or minimized (by planning and performing adequate spatial/physical interventions on existing/reconstructed/newly designed matrices).
PB  - Strojarski fakultet u Slavonskom Brodu
PB  - Fakultet elektrotehnike, računarstva i informacijskih tehnologija Osijek
PB  - Građevinski i arhitektonski fakultet Osijek
T2  - Tehnički vjesnik
T1  - On-photo Restitution and Management of an Angular Size-Illusion's Behaviour Experienced in Architectural/Urban Spaces
VL  - 28
IS  - 5
DO  - 10.17559/TV-20200514000758
ER  - 

@article{
author = "Djordjevic, Djordje and Devetakovic Radojevic, Mirjana and Popovic, Nikola",
year = "2021",
abstract = "An angular size-illusion refers to a contradictory effect related to a seeming size-decrease of focused objects as the observer approaches them. This paper continues the research in this field, trying to establish fundamental principles of how to: (a) efficiently perform an on-photo restitution of an illusion's behaviour (expressed by illusion descriptors) when it is experienced in architectural/urban spaces during movement under the influence of available triggers (represented by illusion determinants of physical nature), and (b) manage it computationally so as to be sustainable for contemporary professional practice. To explain that conceptually, one simple architectural/urban matrix is chosen and digitally photographed. Images are photogrammetrically processed and determinants-related data obtained. Subsequently, descriptors-related outputs are calculated by applying derived mathematical equations (expressed in function of those determinants-related data). Then, behaviour-charts are created and corresponding illusion-characteristics read-off. Finally, it is illustrated how to manage (intentionally modify) the restituted behaviour by varying values of acquired determinants-related data. Given results allow also to "design a new illusion" (to programme and control it) by simulating in digital VR/AR environments. Thus, any cause of unwanted/unpredictable visual impression degradations of important architectural/urban structures can be prevented or minimized (by planning and performing adequate spatial/physical interventions on existing/reconstructed/newly designed matrices).",
publisher = "Strojarski fakultet u Slavonskom Brodu, Fakultet elektrotehnike, računarstva i informacijskih tehnologija Osijek, Građevinski i arhitektonski fakultet Osijek",
journal = "Tehnički vjesnik",
title = "On-photo Restitution and Management of an Angular Size-Illusion's Behaviour Experienced in Architectural/Urban Spaces",
volume = "28",
number = "5",
doi = "10.17559/TV-20200514000758"
}

Djordjevic, D., Devetakovic Radojevic, M.,& Popovic, N.. (2021). On-photo Restitution and Management of an Angular Size-Illusion's Behaviour Experienced in Architectural/Urban Spaces. in Tehnički vjesnik
Strojarski fakultet u Slavonskom Brodu., 28(5).
https://doi.org/10.17559/TV-20200514000758

Djordjevic D, Devetakovic Radojevic M, Popovic N. On-photo Restitution and Management of an Angular Size-Illusion's Behaviour Experienced in Architectural/Urban Spaces. in Tehnički vjesnik. 2021;28(5).
doi:10.17559/TV-20200514000758 .

Djordjevic, Djordje, Devetakovic Radojevic, Mirjana, Popovic, Nikola, "On-photo Restitution and Management of an Angular Size-Illusion's Behaviour Experienced in Architectural/Urban Spaces" in Tehnički vjesnik, 28, no. 5 (2021),
https://doi.org/10.17559/TV-20200514000758 . .

TY  - JOUR
AU  - Devetaković, Mirjana
AU  - Djordjević, Djordje
AU  - Radojević, Milan
AU  - Krstić-Furundžić, Aleksandra
AU  - Burduhos, Bogdan-Gabriel
AU  - Martinopoulos, Georgios
AU  - Neagoe, Mircea
AU  - Lobaccaro, Gabriele
PY  - 2020
UR  - https://raf.arh.bg.ac.rs/handle/123456789/1064
AB  - This review study, framed in the Work group 4 “Photovoltaic in built environment” within the COST Action PEARL PV, CA16235, aims to examine applications of integrated and applied photovoltaic technologies on ten landmark buildings characterised by distinctive geometries, highlighting the aesthetics of their architecture and quality of PV integration based on a proposed set of seven criteria. The selected building samples cover a large design diversity related to the quality of PV systems integration into building envelope that could serve as a basis for general guidelines of best architectural and technological practice. After introducing the problem and defining the research methodology, an analysis of ten landmark buildings is presented, as representative models of aesthetics of their architecture, photovoltaic integration and implementation and energy performance. The study concludes with the main characteristics of photovoltaic integration on landmark buildings. The paper is intended to support both engineers and architects in comprehending the convergent development of contemporary architecture and photovoltaic technology, as well as the need for a closer collaboration, sometimes resulting in architectural masterworks that promote the diffusion of photovoltaics to the public.
PB  - MDPI
T2  - Applied Sciences
T1  - Photovoltaics on Landmark Buildings with Distinctive Geometries
VL  - 10
IS  - 19
SP  - 6696
DO  - 10.3390/app10196696
ER  - 

@article{
author = "Devetaković, Mirjana and Djordjević, Djordje and Radojević, Milan and Krstić-Furundžić, Aleksandra and Burduhos, Bogdan-Gabriel and Martinopoulos, Georgios and Neagoe, Mircea and Lobaccaro, Gabriele",
year = "2020",
abstract = "This review study, framed in the Work group 4 “Photovoltaic in built environment” within the COST Action PEARL PV, CA16235, aims to examine applications of integrated and applied photovoltaic technologies on ten landmark buildings characterised by distinctive geometries, highlighting the aesthetics of their architecture and quality of PV integration based on a proposed set of seven criteria. The selected building samples cover a large design diversity related to the quality of PV systems integration into building envelope that could serve as a basis for general guidelines of best architectural and technological practice. After introducing the problem and defining the research methodology, an analysis of ten landmark buildings is presented, as representative models of aesthetics of their architecture, photovoltaic integration and implementation and energy performance. The study concludes with the main characteristics of photovoltaic integration on landmark buildings. The paper is intended to support both engineers and architects in comprehending the convergent development of contemporary architecture and photovoltaic technology, as well as the need for a closer collaboration, sometimes resulting in architectural masterworks that promote the diffusion of photovoltaics to the public.",
publisher = "MDPI",
journal = "Applied Sciences",
title = "Photovoltaics on Landmark Buildings with Distinctive Geometries",
volume = "10",
number = "19",
pages = "6696",
doi = "10.3390/app10196696"
}

Devetaković, M., Djordjević, D., Radojević, M., Krstić-Furundžić, A., Burduhos, B., Martinopoulos, G., Neagoe, M.,& Lobaccaro, G.. (2020). Photovoltaics on Landmark Buildings with Distinctive Geometries. in Applied Sciences
MDPI., 10(19), 6696.
https://doi.org/10.3390/app10196696

Devetaković M, Djordjević D, Radojević M, Krstić-Furundžić A, Burduhos B, Martinopoulos G, Neagoe M, Lobaccaro G. Photovoltaics on Landmark Buildings with Distinctive Geometries. in Applied Sciences. 2020;10(19):6696.
doi:10.3390/app10196696 .

Devetaković, Mirjana, Djordjević, Djordje, Radojević, Milan, Krstić-Furundžić, Aleksandra, Burduhos, Bogdan-Gabriel, Martinopoulos, Georgios, Neagoe, Mircea, Lobaccaro, Gabriele, "Photovoltaics on Landmark Buildings with Distinctive Geometries" in Applied Sciences, 10, no. 19 (2020):6696,
https://doi.org/10.3390/app10196696 . .

TY  - JOUR
AU  - Đorđević, Đorđe
AU  - Đukanović, Gordana
AU  - Duta, Alina
AU  - Devetaković-Radojević, Mirjana
AU  - Popović, Nikola
PY  - 2019
UR  - https://raf.arh.bg.ac.rs/handle/123456789/326
AB  - This paper investigates the impact of various extrinsic shooting parameters regarding change of roughness-quality of surface textures of linear objects/elements when presented in the form of unstructured photogrammetrially created point-clouds. To perform this scientifically-wise, two types of specific quality-descriptors are identified: process-quality descriptors and smoothness related quality descriptors. Then, they are precisely defined, computed and mutually correlated. It can be generally concluded that for a fixed focal length, shooting directions perpendicular to the axis of targeted object/element, station-points uniformly radially distributed around it (at a circle of 360 deg.) and obtained process-quality descriptors values that belong to satisfying /recommended ranges, the performed photogrammetric digitalization is declared highly precise and satisfyingly accurate regarding roughness /smoothness and barely prone to object-to-camera distance.
AB  - Rad istražuje uticaj različitih ekstrinzičnih parametara snimanja površina linijskih objekata /elemenata, na promenu kvaliteta njihovih tekstura sa aspekta hrapavosti u slučaju kada su one fotogrametrijski generisane u vidu nestrukturiranih oblaka tačaka. U cilju uvođenja naučne metodologije u predmetno eksperimentalno istraživanje, identifikovana su (kao relevantna) dva tipa specifičnih deskriptora analiziranog kvaliteta (deskriptori koji opisuju nivo kvaliteta softverskog/fotogrametrijskog procesuiranja digitalnih snimaka izabranog eksperimentalnog objekta /elementa i deskriptori kojima se definiše postignuti kvalitet hrapavosti tj. stepen očuvanosti glatkoće njegove digitalizovane površine). Ovi deskriptori su, potom, precizno definisani i softverskim putem izračunati. Doneti zaključci su bazirani na analizi ciljno-relevantnih korelacija prethodno dobijenih vrednosti tih deskriptora. Zaključeno je da je za nepromenljivu žižnu daljinu, pravce snimanja upravne na osu linijskog objekta-elementa koji se fotografiše, za pozicije foto-aparata i fotogrametrijske targete ravnomerno radijalno raspoređene oko te ose (po krugu od 360°), kao i za dobijene vrednosti parametara kvaliteta realizovanog fotogrametrijskog procesuiranja (process-quality descriptors values) koje su u prihvatljivom/preporučenom opsegu, sve digitalizovane površine su predstavljene oblacima tačkama čije generisanje karakterišu visoka preciznost (precision) i zadovoljavajući nivo tačnosti (accuracy) na koje neznatno utiče distanca sa koje se vrši snimanje.
PB  - Univerzitet u Beogradu - Mašinski fakultet, Beograd
T2  - FME Transactions
T1  - Point-clouds as photogrammetric representations of linear objects surfaces: The impact of extrinsic shooting parameters on the change of roughness-quality of their textures
T1  - Oblaci tačaka kao fotogrametrijske reprezentacije površina linijskih objekata - uticaj ekstrinzičkih parametara snimanja na promenu kvaliteta njihovih tekstura sa aspekta hrapavosti
VL  - 47
IS  - 2
SP  - 316
EP  - 325
DO  - 10.5937/fmet1902316D
ER  - 

@article{
author = "Đorđević, Đorđe and Đukanović, Gordana and Duta, Alina and Devetaković-Radojević, Mirjana and Popović, Nikola",
year = "2019",
abstract = "This paper investigates the impact of various extrinsic shooting parameters regarding change of roughness-quality of surface textures of linear objects/elements when presented in the form of unstructured photogrammetrially created point-clouds. To perform this scientifically-wise, two types of specific quality-descriptors are identified: process-quality descriptors and smoothness related quality descriptors. Then, they are precisely defined, computed and mutually correlated. It can be generally concluded that for a fixed focal length, shooting directions perpendicular to the axis of targeted object/element, station-points uniformly radially distributed around it (at a circle of 360 deg.) and obtained process-quality descriptors values that belong to satisfying /recommended ranges, the performed photogrammetric digitalization is declared highly precise and satisfyingly accurate regarding roughness /smoothness and barely prone to object-to-camera distance., Rad istražuje uticaj različitih ekstrinzičnih parametara snimanja površina linijskih objekata /elemenata, na promenu kvaliteta njihovih tekstura sa aspekta hrapavosti u slučaju kada su one fotogrametrijski generisane u vidu nestrukturiranih oblaka tačaka. U cilju uvođenja naučne metodologije u predmetno eksperimentalno istraživanje, identifikovana su (kao relevantna) dva tipa specifičnih deskriptora analiziranog kvaliteta (deskriptori koji opisuju nivo kvaliteta softverskog/fotogrametrijskog procesuiranja digitalnih snimaka izabranog eksperimentalnog objekta /elementa i deskriptori kojima se definiše postignuti kvalitet hrapavosti tj. stepen očuvanosti glatkoće njegove digitalizovane površine). Ovi deskriptori su, potom, precizno definisani i softverskim putem izračunati. Doneti zaključci su bazirani na analizi ciljno-relevantnih korelacija prethodno dobijenih vrednosti tih deskriptora. Zaključeno je da je za nepromenljivu žižnu daljinu, pravce snimanja upravne na osu linijskog objekta-elementa koji se fotografiše, za pozicije foto-aparata i fotogrametrijske targete ravnomerno radijalno raspoređene oko te ose (po krugu od 360°), kao i za dobijene vrednosti parametara kvaliteta realizovanog fotogrametrijskog procesuiranja (process-quality descriptors values) koje su u prihvatljivom/preporučenom opsegu, sve digitalizovane površine su predstavljene oblacima tačkama čije generisanje karakterišu visoka preciznost (precision) i zadovoljavajući nivo tačnosti (accuracy) na koje neznatno utiče distanca sa koje se vrši snimanje.",
publisher = "Univerzitet u Beogradu - Mašinski fakultet, Beograd",
journal = "FME Transactions",
title = "Point-clouds as photogrammetric representations of linear objects surfaces: The impact of extrinsic shooting parameters on the change of roughness-quality of their textures, Oblaci tačaka kao fotogrametrijske reprezentacije površina linijskih objekata - uticaj ekstrinzičkih parametara snimanja na promenu kvaliteta njihovih tekstura sa aspekta hrapavosti",
volume = "47",
number = "2",
pages = "316-325",
doi = "10.5937/fmet1902316D"
}

Đorđević, Đ., Đukanović, G., Duta, A., Devetaković-Radojević, M.,& Popović, N.. (2019). Point-clouds as photogrammetric representations of linear objects surfaces: The impact of extrinsic shooting parameters on the change of roughness-quality of their textures. in FME Transactions
Univerzitet u Beogradu - Mašinski fakultet, Beograd., 47(2), 316-325.
https://doi.org/10.5937/fmet1902316D

Đorđević Đ, Đukanović G, Duta A, Devetaković-Radojević M, Popović N. Point-clouds as photogrammetric representations of linear objects surfaces: The impact of extrinsic shooting parameters on the change of roughness-quality of their textures. in FME Transactions. 2019;47(2):316-325.
doi:10.5937/fmet1902316D .

Đorđević, Đorđe, Đukanović, Gordana, Duta, Alina, Devetaković-Radojević, Mirjana, Popović, Nikola, "Point-clouds as photogrammetric representations of linear objects surfaces: The impact of extrinsic shooting parameters on the change of roughness-quality of their textures" in FME Transactions, 47, no. 2 (2019):316-325,
https://doi.org/10.5937/fmet1902316D . .

TY  - JOUR
AU  - Đorđević, Đorđe
AU  - Đukanović, Gordana
AU  - Duta, Alina
AU  - Devetaković Radojević, Mirjana
AU  - Popović, Nikola
PY  - 2019
UR  - https://raf.arh.bg.ac.rs/handle/123456789/568
AB  - This paper investigates the impact of various extrinsic shooting parameters
regarding change of roughness-quality of surface textures of linear
objects/elements when presented in the form of unstructured photogrammetrially created point-clouds. To perfom this scientifically-wise, two
types of specific quality-descriptors are identified: process-quality descriptors and smoothness related quality descriptors. Then, they are
precisely defined, computed and mutually correlated.
It can be generally concluded that for a fixed focal length, shooting
directions perpendicular to the axis of targeted object/element, stationpoints uniformly radially distributed around it (at a circle of 360 deg.) and
obtained process-quality descriptors values that belong to satisfying
/recommended ranges, the performed photogrammetric digitalization is
declared highly precise and satisfyingly accurate regarding roughness
/smoothness and barely prone to object-to-camera distance.
PB  - University of Belgrade - Faculty of Mechanical Engineering
T2  - FME Transactions
T1  - Point-Clouds as Photogrammetric Representations of Linear Objects Surfaces : the Impact of Extrinsic Shooting Parameters on the Change of Roughness-Quality of Their Textures
VL  - 47
IS  - 2
SP  - 316
EP  - 325
DO  - 10.5937/fmet1902316D
ER  - 

@article{
author = "Đorđević, Đorđe and Đukanović, Gordana and Duta, Alina and Devetaković Radojević, Mirjana and Popović, Nikola",
year = "2019",
abstract = "This paper investigates the impact of various extrinsic shooting parameters
regarding change of roughness-quality of surface textures of linear
objects/elements when presented in the form of unstructured photogrammetrially created point-clouds. To perfom this scientifically-wise, two
types of specific quality-descriptors are identified: process-quality descriptors and smoothness related quality descriptors. Then, they are
precisely defined, computed and mutually correlated.
It can be generally concluded that for a fixed focal length, shooting
directions perpendicular to the axis of targeted object/element, stationpoints uniformly radially distributed around it (at a circle of 360 deg.) and
obtained process-quality descriptors values that belong to satisfying
/recommended ranges, the performed photogrammetric digitalization is
declared highly precise and satisfyingly accurate regarding roughness
/smoothness and barely prone to object-to-camera distance.",
publisher = "University of Belgrade - Faculty of Mechanical Engineering",
journal = "FME Transactions",
title = "Point-Clouds as Photogrammetric Representations of Linear Objects Surfaces : the Impact of Extrinsic Shooting Parameters on the Change of Roughness-Quality of Their Textures",
volume = "47",
number = "2",
pages = "316-325",
doi = "10.5937/fmet1902316D"
}

Đorđević, Đ., Đukanović, G., Duta, A., Devetaković Radojević, M.,& Popović, N.. (2019). Point-Clouds as Photogrammetric Representations of Linear Objects Surfaces : the Impact of Extrinsic Shooting Parameters on the Change of Roughness-Quality of Their Textures. in FME Transactions
University of Belgrade - Faculty of Mechanical Engineering., 47(2), 316-325.
https://doi.org/10.5937/fmet1902316D

Đorđević Đ, Đukanović G, Duta A, Devetaković Radojević M, Popović N. Point-Clouds as Photogrammetric Representations of Linear Objects Surfaces : the Impact of Extrinsic Shooting Parameters on the Change of Roughness-Quality of Their Textures. in FME Transactions. 2019;47(2):316-325.
doi:10.5937/fmet1902316D .

Đorđević, Đorđe, Đukanović, Gordana, Duta, Alina, Devetaković Radojević, Mirjana, Popović, Nikola, "Point-Clouds as Photogrammetric Representations of Linear Objects Surfaces : the Impact of Extrinsic Shooting Parameters on the Change of Roughness-Quality of Their Textures" in FME Transactions, 47, no. 2 (2019):316-325,
https://doi.org/10.5937/fmet1902316D . .

TY  - JOUR
AU  - Devetaković, Mirjana
AU  - Đorđević, Đorđe
AU  - Đukanović, Gordana
AU  - Krstić-Furundžić, Aleksandra
AU  - Sudimac, Budimir
AU  - Scognamiglio, Alessandra
PY  - 2019
UR  - https://raf.arh.bg.ac.rs/handle/123456789/327
AB  - The paper systematizes geometric aspects relevant for understanding design of solar systems. The systematization is based on a review of literature dedicated to various kinds of engineers, including architects, involved in a multidisciplinary process of conceptualizing, designing and realization of PV systems. The understanding of the presented geometric aspects, known as solar geometry, is important not only in terms of finding optimal orientation and most effective tilt of solar modules, but also in terms of adequate geometric modelling of façade elements of a complex shape (as specific photovoltaic modules) in order to be optimally exposed to the sun all over the year. After providing detailed explanations of the main elements of solar geometry using the tools of spherical trigonometry, the paper discusses the integration of the presented geometric concepts in the BIM environments, and refers the example of Autodesk Revit software through its sun study tool. Analysed are functionalities of all interactive components of the 3D solar path representation. A need for more explicit determination of an incidence angle of the sun rays on a tilted surface is stressed. In the conclusion highlighted is the essential knowledge on solar geometry that needs to be acquired during architectural education, so that architects participating in the BIM working environments could be prepared for efficient conceptualization of integrated solar systems.
AB  - U radu su sistematizovani najvažniji geometrijski aspekti koji su relevantni za celovito razumevanje projektovanja fotonaponskih sistema. Ova sistematizacija se bazira na pregledu literature namenjene različitim inženjerima, uključujući arhitekte koji su uključeni u multidisciplinarne procese konceptualizacije, projektovanja i realizacije fotonaponskih sistema. Razumevanje prikazanih geometrijskih aspekata, u literaturi objedinjenih pod nazivom solarna geometrija, značajno je ne samo zbog pronalaženja optimalne orijentacije i najefektnijeg nagiba fotonaponskih modula, nego i zbog adekvatnog oblikovanja geometrijski kompleksnih fasadnih elemenata, koji bi trebalo da budu optimalno osunčani tokom cele godine. Nakon detaljnog objašnjenja osnovnih elemenata solarne geometrije korišćenjem sferne trigonometrije, u radu je prodiskutovana integracija prikazanih geometrijskih koncepata u BIM okruženja, ilustrovana primerom modula za analize osunčanja u okviru softvera Revit, firme Autodesk. Analizirana je funkcionalnost svih interaktivnih komponenata 3D prikaza sunčeve putanje. Naglašena je potreba za eksplicitnijim određivanjem upadnog ugla sunčevih zraka na nagnutu površ fotonaponskog modula. U zaključnom delu izdvojeno je ono znanje o solarnoj geometriji koje bi bilo neophodno usvojiti u procesu arhitektonskog obrazovanja, kako bi projektanti koji rade u BIM okruženju bili pripremljeni za efikasnu konceptualizaciju integrisanih fotonaponskih sistema.
PB  - Univerzitet u Beogradu - Mašinski fakultet, Beograd
T2  - FME Transactions
T1  - Design of solar systems for buildings and use of BIM tools: Overview of relevant geometric aspects
T1  - Projektovanje solarnih sistema za arhitektonske objekte i BIM alati - pregled relevantnih geometrijskih aspekata
VL  - 47
IS  - 2
SP  - 387
EP  - 397
DO  - 10.5937/fmet1902387D
ER  - 

@article{
author = "Devetaković, Mirjana and Đorđević, Đorđe and Đukanović, Gordana and Krstić-Furundžić, Aleksandra and Sudimac, Budimir and Scognamiglio, Alessandra",
year = "2019",
abstract = "The paper systematizes geometric aspects relevant for understanding design of solar systems. The systematization is based on a review of literature dedicated to various kinds of engineers, including architects, involved in a multidisciplinary process of conceptualizing, designing and realization of PV systems. The understanding of the presented geometric aspects, known as solar geometry, is important not only in terms of finding optimal orientation and most effective tilt of solar modules, but also in terms of adequate geometric modelling of façade elements of a complex shape (as specific photovoltaic modules) in order to be optimally exposed to the sun all over the year. After providing detailed explanations of the main elements of solar geometry using the tools of spherical trigonometry, the paper discusses the integration of the presented geometric concepts in the BIM environments, and refers the example of Autodesk Revit software through its sun study tool. Analysed are functionalities of all interactive components of the 3D solar path representation. A need for more explicit determination of an incidence angle of the sun rays on a tilted surface is stressed. In the conclusion highlighted is the essential knowledge on solar geometry that needs to be acquired during architectural education, so that architects participating in the BIM working environments could be prepared for efficient conceptualization of integrated solar systems., U radu su sistematizovani najvažniji geometrijski aspekti koji su relevantni za celovito razumevanje projektovanja fotonaponskih sistema. Ova sistematizacija se bazira na pregledu literature namenjene različitim inženjerima, uključujući arhitekte koji su uključeni u multidisciplinarne procese konceptualizacije, projektovanja i realizacije fotonaponskih sistema. Razumevanje prikazanih geometrijskih aspekata, u literaturi objedinjenih pod nazivom solarna geometrija, značajno je ne samo zbog pronalaženja optimalne orijentacije i najefektnijeg nagiba fotonaponskih modula, nego i zbog adekvatnog oblikovanja geometrijski kompleksnih fasadnih elemenata, koji bi trebalo da budu optimalno osunčani tokom cele godine. Nakon detaljnog objašnjenja osnovnih elemenata solarne geometrije korišćenjem sferne trigonometrije, u radu je prodiskutovana integracija prikazanih geometrijskih koncepata u BIM okruženja, ilustrovana primerom modula za analize osunčanja u okviru softvera Revit, firme Autodesk. Analizirana je funkcionalnost svih interaktivnih komponenata 3D prikaza sunčeve putanje. Naglašena je potreba za eksplicitnijim određivanjem upadnog ugla sunčevih zraka na nagnutu površ fotonaponskog modula. U zaključnom delu izdvojeno je ono znanje o solarnoj geometriji koje bi bilo neophodno usvojiti u procesu arhitektonskog obrazovanja, kako bi projektanti koji rade u BIM okruženju bili pripremljeni za efikasnu konceptualizaciju integrisanih fotonaponskih sistema.",
publisher = "Univerzitet u Beogradu - Mašinski fakultet, Beograd",
journal = "FME Transactions",
title = "Design of solar systems for buildings and use of BIM tools: Overview of relevant geometric aspects, Projektovanje solarnih sistema za arhitektonske objekte i BIM alati - pregled relevantnih geometrijskih aspekata",
volume = "47",
number = "2",
pages = "387-397",
doi = "10.5937/fmet1902387D"
}

Devetaković, M., Đorđević, Đ., Đukanović, G., Krstić-Furundžić, A., Sudimac, B.,& Scognamiglio, A.. (2019). Design of solar systems for buildings and use of BIM tools: Overview of relevant geometric aspects. in FME Transactions
Univerzitet u Beogradu - Mašinski fakultet, Beograd., 47(2), 387-397.
https://doi.org/10.5937/fmet1902387D

Devetaković M, Đorđević Đ, Đukanović G, Krstić-Furundžić A, Sudimac B, Scognamiglio A. Design of solar systems for buildings and use of BIM tools: Overview of relevant geometric aspects. in FME Transactions. 2019;47(2):387-397.
doi:10.5937/fmet1902387D .

Devetaković, Mirjana, Đorđević, Đorđe, Đukanović, Gordana, Krstić-Furundžić, Aleksandra, Sudimac, Budimir, Scognamiglio, Alessandra, "Design of solar systems for buildings and use of BIM tools: Overview of relevant geometric aspects" in FME Transactions, 47, no. 2 (2019):387-397,
https://doi.org/10.5937/fmet1902387D . .

TY  - JOUR
AU  - Devetaković, Mirjana S.
AU  - Đorđević, Đorđe
AU  - Đukanović, Gordana
AU  - Krstić-Furundžić, Aleksandra
AU  - Sudimac, Budimir S.
AU  - Scognamiglio, Alessandra
PY  - 2019
UR  - https://raf.arh.bg.ac.rs/handle/123456789/567
AB  - The paper systematizes geometric aspects relevant for understanding
design of solar systems. The systematization is based on a review of
literature dedicated to various kinds of engineers, including architects,
involved in a multidisciplinary process of conceptualizing, designing and
realization of PV systems. The understanding of the presented geometric
aspects, known as solar geometry, is important not only in terms of finding
optimal orientation and most effective tilt of solar modules, but also in
terms of adequate geometric modelling of façade elements of a complex
shape (as specific photovoltaic modules) in order to be optimally exposed
to the sun all over the year. After providing detailed explanations of the
main elements of solar geometry using the tools of spherical trigonometry,
the paper discusses the integration of the presented geometric concepts in
the BIM environments, and refers the example of Autodesk Revit software
through its sun study tool. Analysed are functionalities of all interactive
components of the 3D solar path representation. A need for more explicit
determination of an incidence angle of the sun rays on a tilted surface is
stressed. In the conclusion highlighted is the essential knowledge on solar
geometry that needs to be acquired during architectural education, so that
architects participating in the BIM working environments could be
prepared for efficient conceptualization of integrated solar systems.
PB  - University of Belgrade - Faculty of Mechanical Engineering
T2  - FME Transactions
T1  - Design of Solar Systems for Buildings and Use of BIM Tools : overview of Relevant Geometric Aspects
VL  - 47
IS  - 2
SP  - 387
EP  - 397
DO  - 10.5937/fmet1902387D
ER  - 

@article{
author = "Devetaković, Mirjana S. and Đorđević, Đorđe and Đukanović, Gordana and Krstić-Furundžić, Aleksandra and Sudimac, Budimir S. and Scognamiglio, Alessandra",
year = "2019",
abstract = "The paper systematizes geometric aspects relevant for understanding
design of solar systems. The systematization is based on a review of
literature dedicated to various kinds of engineers, including architects,
involved in a multidisciplinary process of conceptualizing, designing and
realization of PV systems. The understanding of the presented geometric
aspects, known as solar geometry, is important not only in terms of finding
optimal orientation and most effective tilt of solar modules, but also in
terms of adequate geometric modelling of façade elements of a complex
shape (as specific photovoltaic modules) in order to be optimally exposed
to the sun all over the year. After providing detailed explanations of the
main elements of solar geometry using the tools of spherical trigonometry,
the paper discusses the integration of the presented geometric concepts in
the BIM environments, and refers the example of Autodesk Revit software
through its sun study tool. Analysed are functionalities of all interactive
components of the 3D solar path representation. A need for more explicit
determination of an incidence angle of the sun rays on a tilted surface is
stressed. In the conclusion highlighted is the essential knowledge on solar
geometry that needs to be acquired during architectural education, so that
architects participating in the BIM working environments could be
prepared for efficient conceptualization of integrated solar systems.",
publisher = "University of Belgrade - Faculty of Mechanical Engineering",
journal = "FME Transactions",
title = "Design of Solar Systems for Buildings and Use of BIM Tools : overview of Relevant Geometric Aspects",
volume = "47",
number = "2",
pages = "387-397",
doi = "10.5937/fmet1902387D"
}

Devetaković, M. S., Đorđević, Đ., Đukanović, G., Krstić-Furundžić, A., Sudimac, B. S.,& Scognamiglio, A.. (2019). Design of Solar Systems for Buildings and Use of BIM Tools : overview of Relevant Geometric Aspects. in FME Transactions
University of Belgrade - Faculty of Mechanical Engineering., 47(2), 387-397.
https://doi.org/10.5937/fmet1902387D

Devetaković MS, Đorđević Đ, Đukanović G, Krstić-Furundžić A, Sudimac BS, Scognamiglio A. Design of Solar Systems for Buildings and Use of BIM Tools : overview of Relevant Geometric Aspects. in FME Transactions. 2019;47(2):387-397.
doi:10.5937/fmet1902387D .

Devetaković, Mirjana S., Đorđević, Đorđe, Đukanović, Gordana, Krstić-Furundžić, Aleksandra, Sudimac, Budimir S., Scognamiglio, Alessandra, "Design of Solar Systems for Buildings and Use of BIM Tools : overview of Relevant Geometric Aspects" in FME Transactions, 47, no. 2 (2019):387-397,
https://doi.org/10.5937/fmet1902387D . .

TY  - JOUR
AU  - Petrović, Maja M.
AU  - Mijailović, Radomir
AU  - Malešević, Branko
AU  - Đorđević, Đorđe
AU  - Štulić, Radovan
PY  - 2018
UR  - https://raf.arh.bg.ac.rs/handle/123456789/291
AB  - One of the major aims when researching some problems in architectural design of buildings is to fully understand and adequately apply the underlying scientific foundations that architects use in their projects. In this paper we analyze the application possibilities of the Weber's focal-directorial curves in the approximation of ground-base contour line of architectural objects i.e. buildings. Thus, a Weber's curve with m foci and n directrices was defined. Furthermore, particular qualifiers were introduced in order to estimate the level of adequacy of the conducted approximation. The importance of the research can be sought in the fact that the exact procedure has been created with its applicability in architectural-urban design of contemporary forms as well as in the domain of the historical heritage and conservation in the sense of the creating proper geometrical models for further computer aided use.
AB  - Jedan od glavnih ciljeva istraživanja nekih problema u arhitektonskom dizajniranju zgrada je potpuno razumevanje i adekvatno primenjivanje naučnih načela koje arhitekte koriste u svojim projektima. U ovom radu analiziramo mogu nosti primene eberovih fokalno-direktrisnih krivih u aproksimaciji konture osnove arhitektonskih objekata, tj. zgrada. U vezi sa tim, definisana je Veberova kriva sa m fokusa i n direktrisa. Osim toga, uvedeni su posebni kvalifikatori kako bi se procenio nivo preciznosti izvršene aproksimacije. ažnost istraživanja se posebno iskazuje u činjenici da je postupak kreiran sa mogu noš u primene u arhitektonsko-urbanističkom dizajniranju savremenih oblika, kao i u domenu zaštite i revitalizacije istorijskog nasle a u smislu stvaranja odgovaraju ih geometrijskih modela za dalju upotrebu pomo u računara.
PB  - Univerzitet u Nišu, Niš
T2  - Facta universitatis - series: Architecture and Civil Engineering
T1  - The use of Weber's focal-directorial plane curves as approximation of top view contour curves at architectural buildings objects
T1  - Primena Veberovih fokalno-direktrisnih ravanskih krivih u aproksimaciji konturne krive osnove arhitektonskih objekata
VL  - 16
IS  - 2
SP  - 237
EP  - 246
DO  - 10.2298/FUACE171130005P
ER  - 

@article{
author = "Petrović, Maja M. and Mijailović, Radomir and Malešević, Branko and Đorđević, Đorđe and Štulić, Radovan",
year = "2018",
abstract = "One of the major aims when researching some problems in architectural design of buildings is to fully understand and adequately apply the underlying scientific foundations that architects use in their projects. In this paper we analyze the application possibilities of the Weber's focal-directorial curves in the approximation of ground-base contour line of architectural objects i.e. buildings. Thus, a Weber's curve with m foci and n directrices was defined. Furthermore, particular qualifiers were introduced in order to estimate the level of adequacy of the conducted approximation. The importance of the research can be sought in the fact that the exact procedure has been created with its applicability in architectural-urban design of contemporary forms as well as in the domain of the historical heritage and conservation in the sense of the creating proper geometrical models for further computer aided use., Jedan od glavnih ciljeva istraživanja nekih problema u arhitektonskom dizajniranju zgrada je potpuno razumevanje i adekvatno primenjivanje naučnih načela koje arhitekte koriste u svojim projektima. U ovom radu analiziramo mogu nosti primene eberovih fokalno-direktrisnih krivih u aproksimaciji konture osnove arhitektonskih objekata, tj. zgrada. U vezi sa tim, definisana je Veberova kriva sa m fokusa i n direktrisa. Osim toga, uvedeni su posebni kvalifikatori kako bi se procenio nivo preciznosti izvršene aproksimacije. ažnost istraživanja se posebno iskazuje u činjenici da je postupak kreiran sa mogu noš u primene u arhitektonsko-urbanističkom dizajniranju savremenih oblika, kao i u domenu zaštite i revitalizacije istorijskog nasle a u smislu stvaranja odgovaraju ih geometrijskih modela za dalju upotrebu pomo u računara.",
publisher = "Univerzitet u Nišu, Niš",
journal = "Facta universitatis - series: Architecture and Civil Engineering",
title = "The use of Weber's focal-directorial plane curves as approximation of top view contour curves at architectural buildings objects, Primena Veberovih fokalno-direktrisnih ravanskih krivih u aproksimaciji konturne krive osnove arhitektonskih objekata",
volume = "16",
number = "2",
pages = "237-246",
doi = "10.2298/FUACE171130005P"
}

Petrović, M. M., Mijailović, R., Malešević, B., Đorđević, Đ.,& Štulić, R.. (2018). The use of Weber's focal-directorial plane curves as approximation of top view contour curves at architectural buildings objects. in Facta universitatis - series: Architecture and Civil Engineering
Univerzitet u Nišu, Niš., 16(2), 237-246.
https://doi.org/10.2298/FUACE171130005P

Petrović MM, Mijailović R, Malešević B, Đorđević Đ, Štulić R. The use of Weber's focal-directorial plane curves as approximation of top view contour curves at architectural buildings objects. in Facta universitatis - series: Architecture and Civil Engineering. 2018;16(2):237-246.
doi:10.2298/FUACE171130005P .

Petrović, Maja M., Mijailović, Radomir, Malešević, Branko, Đorđević, Đorđe, Štulić, Radovan, "The use of Weber's focal-directorial plane curves as approximation of top view contour curves at architectural buildings objects" in Facta universitatis - series: Architecture and Civil Engineering, 16, no. 2 (2018):237-246,
https://doi.org/10.2298/FUACE171130005P . .

TY  - JOUR
AU  - Đorđević, Đorđe
AU  - Đukanović, Gordana
PY  - 2017
UR  - https://raf.arh.bg.ac.rs/handle/123456789/255
AB  - This paper continues a research in which it has been confirmed that the angular size-illusion underpins a contradictory effect related to a seeming size-decrease of focused architectural and urban objects as the observer approaches them. It explores the impact of various architectural and urban patterns on the behavior of an angular size-illusion noticeable during movement. To obtain sustainable conclusions, real locations are selected and simplified. Simplification criteria are defined respecting the preconditions necessary to trigger such an illusion. Also, two groups of parameters are formulated, both as illusion quantifiers and illusion qualifiers (such as descriptors and determinants). By analyzing the illusion quantifier's conduct, the established valorization criteria allowed the methodological investigation of influences of illusion determinants on the descriptor's behavior. The outputs-based conclusions are generalized in a form applicable to contemporary architectural and urban practice, making it possible to estimate and control the behavior of the illusion in reality.
PB  - Middle East Technical University
T2  - METU journal of the faculty of architecture
T1  - The impact of architectural and urban patterns on the behaviour of an exhibited angular size-illusion
VL  - 34
IS  - 1
SP  - 21
EP  - 41
DO  - 10.4305/METU.JFA.2017.1.10
ER  - 

@article{
author = "Đorđević, Đorđe and Đukanović, Gordana",
year = "2017",
abstract = "This paper continues a research in which it has been confirmed that the angular size-illusion underpins a contradictory effect related to a seeming size-decrease of focused architectural and urban objects as the observer approaches them. It explores the impact of various architectural and urban patterns on the behavior of an angular size-illusion noticeable during movement. To obtain sustainable conclusions, real locations are selected and simplified. Simplification criteria are defined respecting the preconditions necessary to trigger such an illusion. Also, two groups of parameters are formulated, both as illusion quantifiers and illusion qualifiers (such as descriptors and determinants). By analyzing the illusion quantifier's conduct, the established valorization criteria allowed the methodological investigation of influences of illusion determinants on the descriptor's behavior. The outputs-based conclusions are generalized in a form applicable to contemporary architectural and urban practice, making it possible to estimate and control the behavior of the illusion in reality.",
publisher = "Middle East Technical University",
journal = "METU journal of the faculty of architecture",
title = "The impact of architectural and urban patterns on the behaviour of an exhibited angular size-illusion",
volume = "34",
number = "1",
pages = "21-41",
doi = "10.4305/METU.JFA.2017.1.10"
}

Đorđević, Đ.,& Đukanović, G.. (2017). The impact of architectural and urban patterns on the behaviour of an exhibited angular size-illusion. in METU journal of the faculty of architecture
Middle East Technical University., 34(1), 21-41.
https://doi.org/10.4305/METU.JFA.2017.1.10

Đorđević Đ, Đukanović G. The impact of architectural and urban patterns on the behaviour of an exhibited angular size-illusion. in METU journal of the faculty of architecture. 2017;34(1):21-41.
doi:10.4305/METU.JFA.2017.1.10 .

Đorđević, Đorđe, Đukanović, Gordana, "The impact of architectural and urban patterns on the behaviour of an exhibited angular size-illusion" in METU journal of the faculty of architecture, 34, no. 1 (2017):21-41,
https://doi.org/10.4305/METU.JFA.2017.1.10 . .

TY  - JOUR
AU  - Đorđević, Đorđe
AU  - Đukanović, Gordana
AU  - Filipović, Dusan
PY  - 2015
UR  - https://raf.arh.bg.ac.rs/handle/123456789/182
AB  - This paper examines the impact of various object-to-camera distances and the number of station-points i.e. various shooting directions with regard to the obtained Density-quality of photogrammetrically created Point-clouds - as digital representations of the existent linear architectural/urban objects/elements. According to an artificial (purified) experimental scene used, the conclusion is that with the chosen focal lengths/object-to-camera distances, with shooting directions perpendicular to the axis of that object, with station-points uniformly radially distributed around it (at a circle of 360deg), and with the obtained values of photogrammetric-software process-quality outputs which belong to the recommended ranges, the achieved density-level of the created Point-clouds may be treated as independent on the camera's radial-movement angle but dependent on the percentage of 'Object's Photo-Coverage': the lower the Coverage, the lower the density. Also, regardless of the Coverage level, the majority of the generated points are generally more 'densimetrically' precise than they are 'densimetrically' accurate.
AB  - Rad istražuje uticaj distance snimanja i broja korišćenih pozicija fotoaparata tj. pravaca snimanja na postignuti kvalitet gustine fotogrametrijski generisanih oblaka tačaka kao digitalnih reprezentacja postojećih linijskih arhitektonsko-urbanističkih objekata/elemenata. Zaključeno je da za koriščeno apstraktno (pojednostavljeno) eksperimentalno okruženje, za izabrane žižne daljine/distance sa kojih se fotografiše fokusirani objekat, pravce snimanja upravne na njegovu osu,za pozicije fotoaparata ravnomerno radijalno raspoređene oko te ose (u punom krugu), kao i za dobijene vrednosti izlaznih papametara kvaliteta relizovanog fotogrametrisjkog procesinga (process-quality output values) koje su u preporučenom opsegu, osvareni nivo gustine generisanih oblaka tačaka ne zavisi od uglovnog koraka rotacije fotoaparata, već od procenta zastupljenosti objekta na fotografji ('Object's Photo-Coverage'): ukoliko je ovajprocenat 'zastupljenosti' manji i gustina je manja. Takođe, nezavisno od nivoa upravo te 'zastupljenosti, generisane tačke (sa aspekta gustine), generalno više karakteriše ostvarena preciznost ('densimetric precision') nego tačnost ('densimetric accuracy').
PB  - Univerzitet u Nišu, Niš
T2  - Facta universitatis - series: Architecture and Civil Engineering
T1  - Quantifying the density-quality of photogrammetrically created point-clouds of linear architectural/urban elements as a function of shooting distances and number of camera positions i.e. shooting-directions
T1  - Kvantifikovanje kvaliteta gustine fotogrametrijski generisanih oblaka tačaka linijskih arhitektonsko-urbanistickih elemenata u funkciji distance sa koje se vrsi snimanje i broja pozicija fotoaparata tj. pravaca snimanja
VL  - 13
IS  - 3
SP  - 257
EP  - 272
DO  - 10.2298/FUACE1503257D
ER  - 

@article{
author = "Đorđević, Đorđe and Đukanović, Gordana and Filipović, Dusan",
year = "2015",
abstract = "This paper examines the impact of various object-to-camera distances and the number of station-points i.e. various shooting directions with regard to the obtained Density-quality of photogrammetrically created Point-clouds - as digital representations of the existent linear architectural/urban objects/elements. According to an artificial (purified) experimental scene used, the conclusion is that with the chosen focal lengths/object-to-camera distances, with shooting directions perpendicular to the axis of that object, with station-points uniformly radially distributed around it (at a circle of 360deg), and with the obtained values of photogrammetric-software process-quality outputs which belong to the recommended ranges, the achieved density-level of the created Point-clouds may be treated as independent on the camera's radial-movement angle but dependent on the percentage of 'Object's Photo-Coverage': the lower the Coverage, the lower the density. Also, regardless of the Coverage level, the majority of the generated points are generally more 'densimetrically' precise than they are 'densimetrically' accurate., Rad istražuje uticaj distance snimanja i broja korišćenih pozicija fotoaparata tj. pravaca snimanja na postignuti kvalitet gustine fotogrametrijski generisanih oblaka tačaka kao digitalnih reprezentacja postojećih linijskih arhitektonsko-urbanističkih objekata/elemenata. Zaključeno je da za koriščeno apstraktno (pojednostavljeno) eksperimentalno okruženje, za izabrane žižne daljine/distance sa kojih se fotografiše fokusirani objekat, pravce snimanja upravne na njegovu osu,za pozicije fotoaparata ravnomerno radijalno raspoređene oko te ose (u punom krugu), kao i za dobijene vrednosti izlaznih papametara kvaliteta relizovanog fotogrametrisjkog procesinga (process-quality output values) koje su u preporučenom opsegu, osvareni nivo gustine generisanih oblaka tačaka ne zavisi od uglovnog koraka rotacije fotoaparata, već od procenta zastupljenosti objekta na fotografji ('Object's Photo-Coverage'): ukoliko je ovajprocenat 'zastupljenosti' manji i gustina je manja. Takođe, nezavisno od nivoa upravo te 'zastupljenosti, generisane tačke (sa aspekta gustine), generalno više karakteriše ostvarena preciznost ('densimetric precision') nego tačnost ('densimetric accuracy').",
publisher = "Univerzitet u Nišu, Niš",
journal = "Facta universitatis - series: Architecture and Civil Engineering",
title = "Quantifying the density-quality of photogrammetrically created point-clouds of linear architectural/urban elements as a function of shooting distances and number of camera positions i.e. shooting-directions, Kvantifikovanje kvaliteta gustine fotogrametrijski generisanih oblaka tačaka linijskih arhitektonsko-urbanistickih elemenata u funkciji distance sa koje se vrsi snimanje i broja pozicija fotoaparata tj. pravaca snimanja",
volume = "13",
number = "3",
pages = "257-272",
doi = "10.2298/FUACE1503257D"
}

Đorđević, Đ., Đukanović, G.,& Filipović, D.. (2015). Quantifying the density-quality of photogrammetrically created point-clouds of linear architectural/urban elements as a function of shooting distances and number of camera positions i.e. shooting-directions. in Facta universitatis - series: Architecture and Civil Engineering
Univerzitet u Nišu, Niš., 13(3), 257-272.
https://doi.org/10.2298/FUACE1503257D

Đorđević Đ, Đukanović G, Filipović D. Quantifying the density-quality of photogrammetrically created point-clouds of linear architectural/urban elements as a function of shooting distances and number of camera positions i.e. shooting-directions. in Facta universitatis - series: Architecture and Civil Engineering. 2015;13(3):257-272.
doi:10.2298/FUACE1503257D .

Đorđević, Đorđe, Đukanović, Gordana, Filipović, Dusan, "Quantifying the density-quality of photogrammetrically created point-clouds of linear architectural/urban elements as a function of shooting distances and number of camera positions i.e. shooting-directions" in Facta universitatis - series: Architecture and Civil Engineering, 13, no. 3 (2015):257-272,
https://doi.org/10.2298/FUACE1503257D . .

TY  - JOUR
AU  - Đorđević, Đorđe
AU  - Vujić, Gordana
PY  - 2010
UR  - https://raf.arh.bg.ac.rs/handle/123456789/77
AB  - This paper explores the visual phenomena of a seeming change of the target-object's size (as a focus of concrete visual perception) in the function of an observer's motion so that it 'seems' contrary to the law of linear perspective (in the sense of an expected increase of the target volume/monumentality - by getting closer or a decrease - by getting farther away). This phenomenon is described in a geometrical and perceptual aspect; the result of this comprehensive approach led to identify parameters that determine it phenomenologically. It was established that the explored visual phenomenon is a specific 'size illusion', i.e. an 'angular size illusion' that occurs when influenced by factors of the perceptual kind - activated by a specific dynamic relationship (on a visual plan) between the target object and its surrounding competitive objects, as an observer moves. By understanding the character of this phenomenon (both in a geometrical and perceptual sense), it is possible to apply the acquired knowledge in practice - in programming the visual effects to be obtained (such as to visually optimize or minimize the monumentality of targeted objects) in all architectural and urban fields (planning, designing and reconstruction).
PB  - Institut za arhitekturu i urbanizam Srbije, Beograd
T2  - Spatium
T1  - Visual illusion of the change of the size of architectural and urban objects observed upon a change of the observer's distance: Parameters that influence it phenomenologically
IS  - 22
SP  - 38
EP  - 46
DO  - 10.2298/SPAT1022038D
ER  - 

@article{
author = "Đorđević, Đorđe and Vujić, Gordana",
year = "2010",
abstract = "This paper explores the visual phenomena of a seeming change of the target-object's size (as a focus of concrete visual perception) in the function of an observer's motion so that it 'seems' contrary to the law of linear perspective (in the sense of an expected increase of the target volume/monumentality - by getting closer or a decrease - by getting farther away). This phenomenon is described in a geometrical and perceptual aspect; the result of this comprehensive approach led to identify parameters that determine it phenomenologically. It was established that the explored visual phenomenon is a specific 'size illusion', i.e. an 'angular size illusion' that occurs when influenced by factors of the perceptual kind - activated by a specific dynamic relationship (on a visual plan) between the target object and its surrounding competitive objects, as an observer moves. By understanding the character of this phenomenon (both in a geometrical and perceptual sense), it is possible to apply the acquired knowledge in practice - in programming the visual effects to be obtained (such as to visually optimize or minimize the monumentality of targeted objects) in all architectural and urban fields (planning, designing and reconstruction).",
publisher = "Institut za arhitekturu i urbanizam Srbije, Beograd",
journal = "Spatium",
title = "Visual illusion of the change of the size of architectural and urban objects observed upon a change of the observer's distance: Parameters that influence it phenomenologically",
number = "22",
pages = "38-46",
doi = "10.2298/SPAT1022038D"
}

Đorđević, Đ.,& Vujić, G.. (2010). Visual illusion of the change of the size of architectural and urban objects observed upon a change of the observer's distance: Parameters that influence it phenomenologically. in Spatium
Institut za arhitekturu i urbanizam Srbije, Beograd.(22), 38-46.
https://doi.org/10.2298/SPAT1022038D

Đorđević Đ, Vujić G. Visual illusion of the change of the size of architectural and urban objects observed upon a change of the observer's distance: Parameters that influence it phenomenologically. in Spatium. 2010;(22):38-46.
doi:10.2298/SPAT1022038D .

Đorđević, Đorđe, Vujić, Gordana, "Visual illusion of the change of the size of architectural and urban objects observed upon a change of the observer's distance: Parameters that influence it phenomenologically" in Spatium, no. 22 (2010):38-46,
https://doi.org/10.2298/SPAT1022038D . .