Aaron W. F. Lee, Wim Sweldens, Peter Schröder, Lawrence Cowsar, David Dobkin  Home/Search
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Abstract: We construct smooth parameterizations of irregular connectivity triangulations of arbitrary genus 2-manifolds. Our algorithm uses hierarchical simplification to efficiently induce a parameterization of the original mesh over a base domain consisting of a small number of triangles. This initial parameterization is further improved through a hierarchical smoothing procedure based on Loop subdivision applied in the parameter domain. Our method supports both fully automatic and user constrained... (Update)
Context of citations to this paper: More
...Techniques based on a retiling of the model promise to provide higher compression ratios. For example, a mesh can be retiled [33] 34][36] by inserting few new vertices, distributed regularly with a density that may be uniform or that may depend on the local curvature. In a...
...triangles do not satisfy the lower bound condition. There is plenty of literature on polygonal mesh simplification (see e.g. [8,10 14,17,23]) Any vertex removal scheme, for instance the scheme created by B. Hamann [12, 13] that is based on the local curvature...
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BibTeX entry: (Update)
A. Lee, W. Sweldens, P. Schroder, L. Cowsar, and D. Dobkin. Maps: Multiresolution adaptive parameterization of surfaces. Computer Graphics (SIGGRAPH '98 Proceedings), pages 95--104, 1998. http://citeseer.nj.nec.com/article/lee98maps.html More
@article{ lee98maps,
author = "Aaron W. F. Lee and Wim Sweldens and Peter Schr{\"o}der and Lawrence Cowsar and David Dobkin",
title = "{MAPS}: Multiresolution Adaptive Parameterization of Surfaces",
journal = "Computer Graphics",
volume = "32",
number = "{Annual Conference Series}",
pages = "95--104",
year = "1998",
url = "citeseer.nj.nec.com/article/lee98maps.html" }
Citations (may not include all citations):308 Progressive Meshes - HOPPE - 1996
237 Multiresolution Analysis of Arbitrary Meshes - ECK, DEROSE et al. - 1995
223 Primitives for the Manipulation of General Subdivisions and .. (context) - GUIBAS, STOLFI - 1985
147 Smooth Subdivision Surfaces Based on Triangles (context) - LOOP - 1987
140 View-Dependent Refinement of Progressive Meshes - HOPPE - 1997
135 Optimal Search in Planar Subdivisions (context) - KIRKPATRICK - 1983
130 Multiresolution Analysis for Surfaces of Arbitrary Topologic.. - LOUNSBERY, DEROSE et al. - 1997
130 Multiresolution Analysis for Surfaces of Arbitrary Topologic.. - LOUNSBERY - 1994
124 Algebraic Topology (context) - SPANIER - 1966
122 Piecewise Smooth Surface Reconstruction - HOPPE, DEROSE et al. - 1994
85 Survey of Polygonal Surface Simplification Algorithms - HECKBERT, GARLAND - 1997
74 Fast Polygonal Approximation of Terrains and Height Fields - GARLAND, HECKBERT - 1995
74 Interactive Multiresolution Mesh Editing - ZORIN, SCHR et al. - 1997
69 Interactive Multiresolution Surface Viewing - CERTAIN, POPOVI et al. - 1996
67 Interpolating Subdivision for Meshes with Arbitrary Topology - ZORIN, SCHR et al. - 1996
62 A Linear Algorithm for Determining the Separation of Convex .. (context) - DOBKIN, KIRKPATRICK - 1985
62 Dynamic View-Dependent Simplification for Polygonal Models - XIA, VARSHNEY - 1996
57 Fitting Smooth Surfaces to Dense Polygon Meshes - KRISHNAMURTHY, AND - 1996
48 Spherical Wavelets: Efficiently Representing Functions on th.. - ODER, AND - 1995
39 Spline Surfaces of Arbitrary Topological Type (context) - ECK, HOPPE - 1996
31 Simplifying Polygonal Models Using Successive Mappings - COHEN, MANOCHA et al. - 1997
31 Analysis and Application of Subdivision Surfaces - SCHWEITZER - 1996
11 Hierarchical Computation of PL harmonic Embeddings - DUCHAMP, CERTAIN et al. - 1997
9 California Institute of Technology (context) - ZORIN - 1997
7 Automatic Reconstruction of 3D CAD Models (context) - BAJAJ, BERNADINI et al. - 1996
5 A Robust Efficient Algorithm for Point Location in Triangula.. (context) - BROWN, FAIGLE - 1997
4 Shapes and Implementations in Three-Dimensional Geometry (context) - UCKE - 1993
4 Vertex-based Delaunay Triangulation of Meshes of Arbitrary T.. - KLEIN, CERTAIN et al. - 1997
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