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COMPGEOM
2003
ACM
15 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
COMPGEOM
2003
ACM
15 years 2 months ago
Updating and constructing constrained delaunay and constrained regular triangulations by flips
I discuss algorithms based on bistellar flips for inserting and deleting constraining (d − 1)-facets in d-dimensional constrained Delaunay triangulations (CDTs) and weighted CD...
Jonathan Richard Shewchuk
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COMPGEOM
2010
ACM
15 years 2 months ago
Approximating loops in a shortest homology basis from point data
Inference of topological and geometric attributes of a hidden manifold from its point data is a fundamental problem arising in many scientific studies and engineering application...
Tamal K. Dey, Jian Sun, Yusu Wang
COMPGEOM
2010
ACM
15 years 2 months ago
On the complexity of sets of free lines and line segments among balls in three dimensions
We present two new fundamental lower bounds on the worst-case combinatorial complexity of sets of free lines and sets of maximal free line segments in the presence of balls in thr...
Marc Glisse, Sylvain Lazard
COMPGEOM
2010
ACM
15 years 2 months ago
Optimal reconstruction might be hard
Sampling conditions for recovering the homology of a set using topological persistence are much weaker than sampling conditions required by any known algorithm for producing a top...
Dominique Attali, André Lieutier