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Abstract: Many computer graphics operations, such as texture mapping, 3D painting, remeshing, mesh compression, and digital geometry processing, require finding a low-distortion parameterization for irregular connectivity triangulations of arbitrary genus 2-manifolds. This paper presents a simple and fast method for computing parameterizations with strictly bounded distortion. The new method operates by flattening the mesh onto a region of the 2D plane. To comply with the distortion bound, the mesh is... (Update)
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BibTeX entry: (Update)
O. Sorkine, D. Cohen-Or, R. Goldenthal, and D. Lischinski, Bounded-distortion Piecewise Mesh Parameterization, in IEEE Visualization, 2002, pp. 355--362. http://citeseer.ist.psu.edu/sorkine02boundeddistortion.html More
@misc{ daniel-boundeddistortion,
author = "Olga Sorkine, Daniel Cohen-Or, Rony Goldenthal, Dani Lischinski",
title = "Bounded-distortion Piecewise Mesh Parameterization",
url = "citeseer.ist.psu.edu/sorkine02boundeddistortion.html" }
Citations (may not include all citations):307 Multiresolution analysis of arbitrary meshes - Eck, DeRose et al. - 1995
99 MAPS: multiresolution adaptive parameterization of surfaces - Lee, Sweldens et al. - 1998
94 Multiresolution signal processing for meshes - Guskov, Sweldens et al. - 1999
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37 Direct wysiwyg painting and texturing on 3d shapes (context) - Hanrahan, Haeberli - 1990
31 Conformal surface parameterization for texture mapping (context) - Haker, Angenent et al. - 2000
29 Piecewise surface flattening for non-distorted texture mappi.. - Bennis, Vezien et al. - 1991
24 Non-distorted texture mapping for sheared triangulated meshe.. - Levy, Mallet - 1998
22 Texture synthesis on surfaces (context) - Turk - 2001
22 Texture synthesis over arbitrary manifold surfaces - Wei, Levoy - 2001
18 surface meshes using watershed segmentation (context) - Mangan, Whitaker - 1999
14 Texture mapping using surface flattening via multidimensiona.. - Zigelman, Kimmel et al. - 2002
12 Parameterization of faceted surfaces for meshing using angle.. (context) - Sheffer, de Sturler - 2001
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