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Abstract: This paper outlines a simple and fast method for conversion of unstructured triangulations to connected grids. The conversion strategy is as follows: we begin by using mesh decimation by edge shrinks to define a triangulated base complex and parametrize the original mesh points on the faces of the base complex. We then convert base complex to a Steiner quadrangulation. Finally, we use the sampling to generate a hierarchy of coarse-to-fine grids. I will discuss previous work, the possible... (Update)
Active bibliography (related documents): More All
0.4: Survey of Results on Minimal Triangulations - Zomorodian (1998) (Correct)
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0.1: Hierarchy of Surface Models and Irreducible Triangulation - Cheng, Dey, Poon (2002) (Correct)
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BibTeX entry: (Update)
@misc{ zomorodian-converting,
author = "Afra Zomorodian",
title = "Converting Triangulations to Grids",
url = "citeseer.ist.psu.edu/zomorodian98converting.html" }
Citations (may not include all citations):3972 Introduction to Algorithms (context) - Cormen, Leiserson et al. - 1994 ACM
430 Progressive meshes - Hoppe - 1996 ACM DBLP
351 Decimation of triangle meshes - Schroeder, Zarge et al. - 1992 ACM DBLP
307 Multiresolution analysis of arbitrary meshes - Eck, DeRose et al. - 1995 ACM DBLP
252 Re-tiling polygonal surfaces - Turk - 1992 ACM DBLP
237 Mesh optimization - Hoppe, DeRose et al. - 1993 ACM DBLP
84 Fitting smooth surfaces to dense polygon meshes - Krishnamurthy, Levoy - 1996 ACM DBLP
49 Spline surfaces of arbitrary topological type (context) - Eck, Hoppe - 1996
23 MAPS: Multiresolution adaptive parametrization of surfaces (context) - Lee, Sweldens et al. - 1998
12 Surface simpli cation using quadric error metrics (context) - Garland, Heckbert - 1997
8 Note on irreducible triangulations of surfaces (context) - Nakamoto, Ota - 1995 ACM
3 Topology and curvature preserving surface decimation (context) - Edelsbrunner, Nekhayev - 1997
1 CGTA: Computational Geometry: Theory and Applications (context) - Ramaswami, Ramos et al. - 1998
Documents on the same site (http://graphics.stanford.edu/~afra/goodies.html):
Qualification Examination in Theory - Zomorodian (1998) (Correct)
Survey of Results on Minimal Triangulations - Zomorodian (1998) (Correct)
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