Computational Geometry and Spatial Meshes

Authors:
César Otero;Reinaldo Togores
Affiliations:
-;-
Venue:
ICCS '02 Proceedings of the International Conference on Computational Science-Part II
Year:
2002

Citing 1
Cited 2

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Abstract

This paper establishes a relation between the field of study of Geometric Design of the Structures known as "Spatial Meshes" and Computational Geometry. According to some properties of Voronoi Diagrams and Convex Hulls, and by means of two transformations: one inversive, the other projective, a way for generating polyhedra approximating spheres and other second order surfaces (ellipsoids, paraboloids and hyperboloids), starting from a simple Voronoi Diagram, is shown. The paper concludes with the geometric design of C-TANGENT domes: a new way for generating Spatial Meshes that can become a possible field of application for Computational Geometry.