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Abstract: This paper proposes a straightforward method of parameterizing manifold triangulations where the parameter domain is a coarser triangulation of the same topology. The method partitions the given triangulation into triangular patches bounded by geodesic curves and parameterizes each patch individually. We apply the global parameterization to remeshing and wavelet decomposition. (Update)
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BibTeX entry: (Update)
M. S. Floater, K. Hormann, and M. Reimers. Parameterization of manifold triangulations. Approximation Theory X: Abstract and Classical Analysis, pages 197--209, 2002. http://citeseer.ist.psu.edu/floater02parameterization.html More
@misc{ floater02parameterization,
author = "M. Floater and K. Hormann and M. Reimers",
title = "Parameterization of manifold triangulations",
text = "M. S. Floater, K. Hormann, and M. Reimers. Parameterization of manifold
triangulations. Approximation Theory X: Abstract and Classical Analysis,
pages 197--209, 2002.",
year = "2002",
url = "citeseer.ist.psu.edu/floater02parameterization.html" }
Citations (may not include all citations):354 A note on two problems in connexion with graphs (context) - Dijkstra - 1959
307 Multiresolution analysis of arbitrary meshes - Eck, DeRose et al. - 1995
112 Survey of polygonal surface simplification algorithms - Heckbert, Garland - 1997
107 Topological Graph Theory (context) - Gross, Tucker - 1987
61 The discrete geodesic problem (context) - Mitchell, Mount - 1987
48 A general framework for mesh decimation - Kobbelt, Campagna et al. - 1998
44 Computing discrete minimal surfaces and their conjugates - Pinkall, Polthier - 1993
37 Computing geodesic paths on manifolds - Kimmel, Sethian - 1998
36 Parameterization and smooth approximation of surface triangu.. (context) - Floater - 1997
29 Shortest paths on a polyhedron (context) - Chen, Han - 1996
20 Straightest geodesics on polyhedral surfaces (context) - Polthier, Schmies - 1998
18 Hierarchical computation of PL harmonic embeddings - Duchamp, Certain et al. - 1997
16 ciently representing functions on the sphere (context) - Schroder, Sweldens
16 Consistent mesh parameterizations - Praun, Sweldens et al. - 2001
10 Piecewise linear prewavelets on arbitrary triangulations - Floater, Quak - 1999
[Article contains additional citations not shown here]
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