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  Caltech

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by Wim Sweldens, Peter Schröder, Lawrence Cowsar, David Dobkin
http://158.250.10.217/library/SIGGRAPH/98/html/../papers/lee/lee.pdf
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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 operations. In the latter, we accommodate point and edge constraints to force the align-

Citations

854 Progressive Meshes – Hoppe - 1996
404 Multiresolution analysis of arbitrary meshes – Eck, Derose, et al. - 1995
385 Primitives for the manipulation of general subdivisions an the computation of voronoi diagrams – Guibas, Stolfi - 1985
358 Smooth Subdivision Surfaces Based on Triangles – Loop - 1987
315 View-dependent refinement of progressive meshes – Hoppe - 1997
264 Multiresolution Analysis for Surfaces of Arbitrary Topological Type – Lounsbery, DeRose, et al. - 1997
249 Algebraic Topology – Spanier - 1966
221 Optimal search in planar subdivisions – Kirkpatrick - 1983
209 Piecewise smooth surface reconstruction – Hoppe, DeRose, et al. - 1994
173 Survey of Polygonal Surface Simplification Algorithms – Heckbert, Garland - 1997
173 Spherical Wavelets: Efficiently Representing Functions on the Sphere – SCHRODER, SWELDENS - 1995
150 Fitting Smooth Surfaces to Dense Polygon Meshes – Krishnamurthy, Levoy - 1996
147 Interpolating subdivision for meshes with arbitrary topology, SIGGRAPH 96 proceedings – Zorin, Schröder, et al.
141 Dynamic view-dependent simplification for polygonal models – Xia, Varshney - 1996
128 Interactive multiresolution mesh editing – Zorin, Schröder, et al. - 1997
116 Fast polygonal approximation of terrains and height fields – Garland, Heckbert - 1995
109 Automatic Reconstruction of B-Spline Surfaces of Arbitrary Topological Type – Eck, Hoppe - 1996
85 A linear algorithm for determining the separation of convex polyhedra – Dobkin, Kirkpatrick - 1985
75 Interactive multiresolution surface viewing – Certain, Popovic, et al. - 1996
46 Analysis and Application of Subdivision Surfaces – Schweitzer - 1996
45 Stationary Subdivision and Multiresolution Surface Representations – Zorin - 1998
42 Sim-plifying polygonal models using successive mappings – Cohen, Manocha, et al. - 1997
30 Hierarchical computation of pl harmonic embeddings – Duchamp, Certian, et al.
30 Shapes and Implementations in Three-Dimensional Geometry – Mücke - 1993
13 Automatic reconstruction of 3D CAD models – BAJAJ, BERNADINI, et al. - 1996
13 Spherical wavelets: Efficiently representing functions on the sphere – ODER, P, et al. - 1995
4 A Robust Efficient Algorithm for Point Location in Triangulations – BROWN, FAIGLE - 1997
4 Vertex-based Delaunay Triangulation of Meshes of Arbitrary Topological Type – KLEIN, CERTAIN, et al. - 1997
1 Hierarchical Computationof PL harmonicEmbeddings – DUCHAMP, CERTAIN, et al. - 1997
1 Fast Polygonal Approximation of Terrains andHeight Fields – GARLAND, HECKBERT - 1995
1 Shapes and Implementations in Three-Dimensional Geometry – UCKE, P - 1993
1 Subdivisionand MultiresolutionSurface Representations – ZORIN - 1997
1 Vertex-based Delaunay Triangulationof Meshes of Arbitrary Topological Type – KLEIN, CERTAIN, et al. - 1997