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» On Deletion in Delaunay Triangulations
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COMGEO
2006
ACM
13 years 4 months ago
Preferred directions for resolving the non-uniqueness of Delaunay triangulations
: This note proposes a simple rule to determine a unique triangulation among all Delaunay triangulations of a planar point set, based on two preferred directions. We show that the ...
Christopher Dyken, Michael S. Floater
CPHYSICS
2004
93views more  CPHYSICS 2004»
13 years 4 months ago
Kinetic and dynamic Delaunay tetrahedralizations in three dimensions
We describe algorithms to implement fully dynamic and kinetic three-dimensional unconstrained Delaunay triangulations, where the time evolution of the triangulation is not only go...
Gernot Schaller, Michael Meyer-Hermann
IJCGA
2002
69views more  IJCGA 2002»
13 years 4 months ago
On Deletion in Delaunay Triangulations
This paper presents how the space of spheres and shelling may be used to delete a point from a d-dimensional triangulation efficiently. In dimension two, if k is the degree of the...
Olivier Devillers
IJFCS
2002
122views more  IJFCS 2002»
13 years 4 months ago
The Delaunay Hierarchy
We propose a new data structure to compute the Delaunay triangulation of a set of points in the plane. It combines good worst case complexity, fast behavior on real data, small me...
Olivier Devillers
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