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Cardinality Bounds for Triangulations with Bounded Minimum Angle (1994)  (Make Corrections)  (7 citations)
Scott A. Mitchell



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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)

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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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