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» Robustness of k-gon Voronoi diagram construction
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IPL
2006
108views more  IPL 2006»
13 years 4 months ago
Robustness of k-gon Voronoi diagram construction
In this paper, we present a plane sweep algorithm for constructing the Voronoi diagram of a set of non-crossing line segments in 2D space using a distance metric induced by a regu...
Zhenming Chen, Evanthia Papadopoulou, Jinhui Xu
TVCG
2008
125views more  TVCG 2008»
13 years 4 months ago
Generic Remeshing of 3D Triangular Meshes with Metric-Dependent Discrete Voronoi Diagrams
In this paper, we propose a generic framework for 3D surface remeshing. Based on a metric-driven Discrete Voronoi Diagram construction, our output is an optimized 3D triangular mes...
Sébastien Valette, Jean-Marc Chassery, R&ea...
SODA
2003
ACM
131views Algorithms» more  SODA 2003»
13 years 5 months ago
Root comparison techniques applied to computing the additively weighted Voronoi diagram
This work examines algebraic techniques for comparing quadratic algebraic numbers, thus yielding methods for deciding key predicates in various geometric constructions. Our motiva...
Menelaos I. Karavelas, Ioannis Z. Emiris
SMA
2008
ACM
182views Solid Modeling» more  SMA 2008»
13 years 4 months ago
Voronoi diagram computations for planar NURBS curves
We present robust and efficient algorithms for computing Voronoi diagrams of planar freeform curves. Boundaries of the Voronoi diagram consist of portions of the bisector curves b...
Joon-Kyung Seong, Elaine Cohen, Gershon Elber
ESA
2006
Springer
130views Algorithms» more  ESA 2006»
13 years 8 months ago
Robust, Generic and Efficient Construction of Envelopes of Surfaces in Three-Dimensional Spaces
Lower envelopes are fundamental structures in computational geometry, which have many applications, such as computing general Voronoi diagrams and performing hidden surface removal...
Michal Meyerovitch