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» Splitting a Delaunay Triangulation in Linear Time
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COMPGEOM
2003
ACM
13 years 10 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
CCCG
2008
13 years 6 months ago
An Efficient Query Structure for Mesh Refinement
We are interested in the following mesh refinement problem: given an input set of points P in Rd , we would like to produce a good-quality triangulation by adding new points in P....
Benoît Hudson, Duru Türkoglu
COMPGEOM
1993
ACM
13 years 9 months ago
A Linear-Time Randomized Algorithm for the Bounded Voronoi Diagram of a Simple Polygon
For a polygon P, the bounded Voronoi diagram of P is a partition of P into regions assigned to the vertices of P. A point p inside P belongs to the region of a vertex v if and onl...
Rolf Klein, Andrzej Lingas
COMPGEOM
2010
ACM
13 years 8 months ago
Manifold reconstruction using tangential Delaunay complexes
We give a provably correct algorithm to reconstruct a kdimensional manifold embedded in d-dimensional Euclidean space. Input to our algorithm is a point sample coming from an unkn...
Jean-Daniel Boissonnat, Arijit Ghosh