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» On Deletion in Delaunay Triangulations
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COMGEO
2006
ACM
14 years 9 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»
14 years 9 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
78
Voted
IJCGA
2002
69views more  IJCGA 2002»
14 years 9 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»
14 years 9 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
15 years 3 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