@conference{
author = "Petrusevski, Ljiljana and Petrovic, Maja and Devetakovic, Mirjana and Ivanovic, Jelena",
year = "2016",
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.",
publisher = "Belgrade : Serbian Society for Geometry and Graphics (SUGIG), Belgrade : Faculty of Civil Engineering, University, Belgrade : Akademska misao",
journal = "Proceedings / The 5th International Scientific Conference on Geometry and Graphics moNGeometrija 2016, June 23th-26th 2016, Belgrade, Serbia",
title = "Modeling of Focal-Directorial Surfaces for Aplication in Architecture",
pages = "278-286",
url = "https://hdl.handle.net/21.15107/rcub_raf_1171"
}