(Enter summary)
Abstract: We consider bounding the cardinality of an arbitrary
triangulation with smallest angle ff: We show that
if the local feature size (i.e. distance between disjoint
vertices or edges) of the triangulation is within a constant
factor of the local feature size of the input, then
N ! O(1=ff)M; where N is the cardinality of the
triangulation and M is the cardinality of any other
triangulation with smallest angle at least ff: Previous
results [7, 8] had an O(1=ff
1=ff
) dependence. Our
O(1=ff)... (Update)
BibTeX entry: (Update)
Scott A. Mitchell. Cardinality Bounds for Triangulations with Bounded Minimum Angle. Sixth Canadian Conference on Computational Geometry, 1994. http://citeseer.ist.psu.edu/mitchell94cardinality.html More
@inproceedings{ mitchelldidcardinality,
author = "S. Mitchell",
title = "Cardinality Bounds for Triangulations with Bounded Minimum Angle",
pages = "326--331",
url = "citeseer.ist.psu.edu/mitchell94cardinality.html" }
Citations (may not include all citations):
481
Algorithms in Combinatorial Geometry (context) - Edelsbrunner - 1987
109
Provably good mesh generation
- Bern, Eppstein et al. - 1990
64
Quality mesh generation in three dimensions
- Mitchell, Vavasis - 1992
38
A new and simple algorithm for quality 2-dimensional mesh ge.. (context) - Ruppert - 1993
11
An advancing front Delaunay triangulation algorithm designed.. (context) - Mavriplis - 1992
2
Mesh generation with provable quality bounds (context) - Mitchell - 1993
2
The dissection of a polygon into nearly equilateral triangle.. (context) - Gerver - 1984
2
Approximating the maxmin-angle covering triangulation
- Mitchell - 1993
The graph only includes citing articles where the year of publication is known.
Documents on the same site (http://endo.sandia.gov/~samitch/csstuff/csguide.html): More
Linear-size Nonobtuse Triangulation of Polygons - Bern, Mitchell, Ruppert (1994)
(Correct)
Edge Insertion for Optimal Triangulations - Bern, Edelsbrunner, Eppstein.. (1993)
(Correct)
Quality Mesh Generation in Three Dimensions - Mitchell, Vavasis (1992)
(Correct)
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