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Abstract: We address the problem of representing 3D shapes when partial and unorganized data is obtained as an input, such as clouds of point samples on the surface of a face, statue, solid, etc., of regular or arbitrary complexity (free-form), as is commonly produced by photogrammetry, laser scanners, computerized tomography, and so on. Our starting point is the medial axis (MA) representation which has been explored mainly for 2D problems since the 1960's in pattern recognition and image analysis. The... (Update)
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BibTeX entry: (Update)
@phdthesis{ leymarie03phd,
author = {Frederic Fol Leymarie},
title = {Three-Dimensional Shape Representation via Shock Flows},
school = {Brown University},
year = {2003},
address = {Providence, RI, USA},
month = {May},
url = {citeseer.ist.psu.edu/leymarie03threedimensional.html} }
Citations (may not include all citations):124 A new Voronoi-based surface reconstruction algorithm - Amenta, Bern et al. - 1998
55 Surface reconstruction by Voronoi filtering - Amenta, Bern - 1999
18 Art and Visual Perception: A Psychology of the Creative Eye (context) - Arnheim - 1974
18 Mathematical Morphology: The Hamilton-Jacobi connection (context) - Arehart, Vincent et al. - 1993
18 and the medial axis transform (context) - Amenta, Choi et al. - 2001
5 Theory of Singularities and its Applications (context) - Arnold
4 Identification of cellular automata (context) - Adamatzky - 1994
4 Techniques for interactive and automatic idealisation of CAD.. (context) - Armstrong, Bridgett et al. - 1998
4 Mathematical Methods of Classical Mechanics (context) - Arnold - 1989
3 Adaptive implicit modeling using subdivision curves and surf.. - Angelidis, Cani - 2002
2 Kluwer Academic Publishers (context) - Arnold, Caustics et al. - 1990
www.shapegrabber.com
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