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CORR
2011
Springer
157views Education» more  CORR 2011»
13 years 1 months ago
Orphan-Free Anisotropic Voronoi Diagrams
We describe conditions under which an appropriately-defined anisotropic Voronoi diagram of a set of sites in Euclidean space is guaranteed to be composed of connected cells in an...
Guillermo D. Cañas, Steven J. Gortler
COMPGEOM
2003
ACM
14 years 2 months ago
Anisotropic voronoi diagrams and guaranteed-quality anisotropic mesh generation
We introduce anisotropic Voronoi diagrams, a generalization of multiplicatively weighted Voronoi diagrams suitable for generating guaranteed-quality meshes of domains in which lon...
François Labelle, Jonathan Richard Shewchuk
TCS
2008
13 years 9 months ago
Anisotropic diagrams: Labelle Shewchuk approach revisited
F. Labelle and J. Shewchuk [3] have proposed a discrete definition of anisotropic Voronoi diagrams. These diagrams are parametrized by a metric field. Under mild hypotheses on the...
Jean-Daniel Boissonnat, Camille Wormser, Mariette ...
TVCG
2008
125views more  TVCG 2008»
13 years 9 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...
SGP
2007
13 years 11 months ago
Voronoi-based variational reconstruction of unoriented point sets
We introduce an algorithm for reconstructing watertight surfaces from unoriented point sets. Using the Voronoi diagram of the input point set, we deduce a tensor field whose princ...
Pierre Alliez, David Cohen-Steiner, Yiying Tong, M...