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» Splitting a Delaunay Triangulation in Linear Time
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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
CCCG
2008
14 years 11 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
15 years 1 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
15 years 1 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