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Abstract: A new algorithm for manifold reconstruction is presented. The goal is to take samples drawn from a finitedimensional manifold, and to reconstruct a manifold, based only on the samples, which is a good approximation to the true manifold; nothing of the true manifold's geometry or topology is known a priori. The algorithm constructs a simplicial complex based on approximating tangent hyperplanes to the manifold, and does so efficiently. Successful examples are presented for curve reconstruction... (Update)
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BibTeX entry: (Update)
@misc{ freedman-manifold,
author = "Daniel Freedman",
title = "Manifold Reconstruction from Unorganized Points",
url = "citeseer.ist.psu.edu/632709.html" }
Citations (may not include all citations):313 Surface reconstructions from unorganized points - Hoppe, DeRose et al. - 1992
278 A volumetric method for building complex models from range i.. - Curless, Levoy - 1996
161 Piecewise smooth surface reconstruction - Hoppe, DeRose et al. - 1994
124 A new voronoibased surface reconstruction algorithm - Amenta, Bern et al. - 1998
55 Surface reconstruction by voronoi filtering - Amenta, Bern - 1999
44 Nonlinear manifold learning for visual speech recognition (context) - Bregler, Omohundro - 1995
10 The crust and the beta-skeleton: combinatorial curve reconst.. - Amenta, Bern et al. - 1998
6 One-pass delaunay filtering for homeomorphic 3d surface reco.. - Amenta, Choi - 1999
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