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  - Petruševski, Ljiljana
AU  - Petrović, Maja M.
AU  - Devetaković, Mirjana
AU  - Ivanović, Jelena
PY  - 2017
UR  - https://raf.arh.bg.ac.rs/handle/123456789/265
AB  - The theme of this paper is the modeling of focal-directorial surfaces, starting with their definition, as a locus of points, whose sum of the distances to the focus and/or directrix is constant and predefined. We presented a heuristic algorithm for modeling surfaces and their isocurves, achieved through the use of the Grasshopper visual programming editor in the RhinoCeros environment. Surfaces and their isocurves were generated in a spherical grid, because a Cartesian grid proved unsuitable for the task and the chosen approach. This paper additionally proposes a modeling algorithm of a discrete variation of focal-directorial surfaces. The proposed modeling method is a 3D convex hull implemented on a set of surface points, with the selected points close to that surface. The discrete model is realized both in a Cartesian and spherical grid. There are significant differences between the obtained results.
AB  - Tema ovog rada je modelovanje fokalno-direktrisnih površi polazeći od njihove definicije, kao geometrijskog mesta tačaka čiji je zbir rastojanja do fokusa i/ili direktrisa konstantan i unapred zadat. Predložen je jedan heuristički algoritam za modelovanje površi i njihovih izolinija koji je realizovan pomoću vizuelnog grafičkog editora Grasshoper u RhinoCeros okruženju. Generisanje površi i njihovih izolinija realizovano je u sfernom gridu, pravougli grid se pokazao kao nepodesan za postavljeni zadatak i pristup. U ovom radu je, dodatno, predložen i algoritam modelovanja diskretne varijante fokalno-direktrisnih površi. Kao način modelovanja, predložen je 3D convex hull primenjen na skupu tačaka površi i izabranih tačaka bliskih toj površi. Diskretni model je realizovan u pravouglom, i u sfernom gridu. Dobijeni su rezultati koji se značajno međusobno razlikuju.
PB  - Univerzitet u Beogradu - Mašinski fakultet, Beograd
T2  - FME Transactions
T1  - Modeling of focal-directorial surfaces for application in architecture
T1  - Modelovanje fokalno-direktrisnih površi za primenu u arhitekturi
VL  - 45
IS  - 2
SP  - 294
EP  - 300
DO  - 10.5937/fmet1702294P
ER  - 

@article{
author = "Petruševski, Ljiljana and Petrović, Maja M. and Devetaković, Mirjana and Ivanović, Jelena",
year = "2017",
abstract = "The theme of this paper is the modeling of focal-directorial surfaces, starting with their definition, as a locus of points, whose sum of the distances to the focus and/or directrix is constant and predefined. We presented a heuristic algorithm for modeling surfaces and their isocurves, achieved through the use of the Grasshopper visual programming editor in the RhinoCeros environment. Surfaces and their isocurves were generated in a spherical grid, because a Cartesian grid proved unsuitable for the task and the chosen approach. This paper additionally proposes a modeling algorithm of a discrete variation of focal-directorial surfaces. The proposed modeling method is a 3D convex hull implemented on a set of surface points, with the selected points close to that surface. The discrete model is realized both in a Cartesian and spherical grid. There are significant differences between the obtained results., Tema ovog rada je modelovanje fokalno-direktrisnih površi polazeći od njihove definicije, kao geometrijskog mesta tačaka čiji je zbir rastojanja do fokusa i/ili direktrisa konstantan i unapred zadat. Predložen je jedan heuristički algoritam za modelovanje površi i njihovih izolinija koji je realizovan pomoću vizuelnog grafičkog editora Grasshoper u RhinoCeros okruženju. Generisanje površi i njihovih izolinija realizovano je u sfernom gridu, pravougli grid se pokazao kao nepodesan za postavljeni zadatak i pristup. U ovom radu je, dodatno, predložen i algoritam modelovanja diskretne varijante fokalno-direktrisnih površi. Kao način modelovanja, predložen je 3D convex hull primenjen na skupu tačaka površi i izabranih tačaka bliskih toj površi. Diskretni model je realizovan u pravouglom, i u sfernom gridu. Dobijeni su rezultati koji se značajno međusobno razlikuju.",
publisher = "Univerzitet u Beogradu - Mašinski fakultet, Beograd",
journal = "FME Transactions",
title = "Modeling of focal-directorial surfaces for application in architecture, Modelovanje fokalno-direktrisnih površi za primenu u arhitekturi",
volume = "45",
number = "2",
pages = "294-300",
doi = "10.5937/fmet1702294P"
}

Petruševski, L., Petrović, M. M., Devetaković, M.,& Ivanović, J.. (2017). Modeling of focal-directorial surfaces for application in architecture. in FME Transactions
Univerzitet u Beogradu - Mašinski fakultet, Beograd., 45(2), 294-300.
https://doi.org/10.5937/fmet1702294P

Petruševski L, Petrović MM, Devetaković M, Ivanović J. Modeling of focal-directorial surfaces for application in architecture. in FME Transactions. 2017;45(2):294-300.
doi:10.5937/fmet1702294P .

Petruševski, Ljiljana, Petrović, Maja M., Devetaković, Mirjana, Ivanović, Jelena, "Modeling of focal-directorial surfaces for application in architecture" in FME Transactions, 45, no. 2 (2017):294-300,
https://doi.org/10.5937/fmet1702294P . .