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COMPGEOM
2003
ACM
13 years 11 months ago
Complexity of the delaunay triangulation of points on surfaces the smooth case
Dominique Attali, Jean-Daniel Boissonnat, Andr&eac...
COMPGEOM
2003
ACM
13 years 11 months ago
Restricted delaunay triangulations and normal cycle
We address the problem of curvature estimation from sampled smooth surfaces. Building upon the theory of normal cycles, we derive a definition of the curvature tensor for polyhed...
David Cohen-Steiner, Jean-Marie Morvan
VIS
2004
IEEE
170views Visualization» more  VIS 2004»
14 years 7 months ago
Guaranteed Quality Triangulation of Molecular Skin Surfaces
We present an efficient algorithm to mesh the macromolecules surface model represented by the skin surface defined by Edelsbrunner. Our algorithm overcomes several challenges resi...
Ho-Lun Cheng, Xinwei Shi
DCG
2008
86views more  DCG 2008»
13 years 6 months ago
Reconstruction Using Witness Complexes
We present a novel reconstruction algorithm that, given an input point set sampled from an object S, builds a one-parameter family of complexes that approximate S at different sca...
Leonidas J. Guibas, Steve Oudot
COMGEO
2007
ACM
13 years 6 months ago
Learning smooth shapes by probing
We consider the problem of discovering a smooth unknown surface S bounding an object O in R3 . The discovery process consists of moving a point probing device in the free space ar...
Jean-Daniel Boissonnat, Leonidas J. Guibas, Steve ...