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
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.
Keywords:
Weber's curves / parabola / architectural objects / approximation / Veberove krive / parabola / arhitektonski objekti / aproksimacijaSource:
Facta universitatis - series: Architecture and Civil Engineering, 2018, 16, 2, 237-246Publisher:
- Univerzitet u Nišu, Niš
Funding / projects:
- Optimization of architectural and urban planning and design in function of sustainable development in Serbia (RS-36042)
- Analysis and algebra with applications (RS-174032)
- Development of new information and communication technologies, based on advanced mathematical methods, with applications in medicine, telecommunications, power systems, protection of national heritage and education (RS-44006)
- Development of the model for managing the vehicle technical condition in order to increase its energy efficiency and reduce exhaust emissions (RS-36010)
Institution/Community
Arhitektonski fakultetTY - 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 . .