Title
Flipping to robustly delete a vertex in a delaunay tetrahedralization
Abstract
We discuss the deletion of a single vertex in a Delaunay tetrahedralization (DT). While some theoretical solutions exist for this problem, the many degeneracies in three dimensions make them impossible to be implemented without the use of extra mechanisms. In this paper, we present an algorithm that uses a sequence of bistellar flips to delete a vertex in a DT, and we present two different mechanisms to ensure its robustness.
Year
DOI
Venue
2005
10.1007/11424758_76
ICCSA (1)
Keywords
Field
DocType
delaunay tetrahedralization,theoretical solution,different mechanism,single vertex,extra mechanism,three dimensions
Discrete mathematics,Combinatorics,Bowyer–Watson algorithm,Vertex (geometry),Steiner point,Computer science,Robustness (computer science),Voronoi diagram,Constrained Delaunay triangulation,Delaunay triangulation,Pitteway triangulation
Conference
Volume
ISSN
ISBN
3480
0302-9743
3-540-25860-4
Citations 
PageRank 
References 
7
0.62
10
Authors
3
Name
Order
Citations
PageRank
Hugo Ledoux123122.27
Christopher M. Gold228935.07
George Baciu340956.17