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SMI
2006
IEEE
135views Image Analysis» more  SMI 2006»
15 years 9 months ago
Laplace-Beltrami Eigenfunctions Towards an Algorithm That "Understands" Geometry
One of the challenges in geometry processing is to automatically reconstruct a higher-level representation from raw geometric data. For instance, computing a parameterization of a...
Bruno Lévy
DGCI
2003
Springer
15 years 8 months ago
Geodesic Object Representation and Recognition
This paper describes a shape signature that captures the intrinsic geometric structure of 3D objects. The primary motivation of the proposed approach is to encode a 3D shape into a...
A. Ben Hamza, Hamid Krim
CVPR
2007
IEEE
16 years 5 months ago
The Hyperbolic Geometry of Illumination-Induced Chromaticity Changes
The non-negativity of color signals implies that they span a conical space with a hyperbolic geometry. We use perspective projections to separate intensity from chromaticity, and ...
Reiner Lenz, Pedro Latorre Carmona, Peter Meer
SIAMDM
2010
194views more  SIAMDM 2010»
14 years 10 months ago
Combinatorics and Geometry of Finite and Infinite Squaregraphs
Abstract. Squaregraphs were originally defined as finite plane graphs in which all inner faces are quadrilaterals (i.e., 4-cycles) and all inner vertices (i.e., the vertices not in...
Hans-Jürgen Bandelt, Victor Chepoi, David Epp...
CVPR
2000
IEEE
16 years 5 months ago
A Formal Classification of 3D Medial Axis Points and Their Local Geometry
This paper proposes a novel hypergraph skeletal representation for 3D shape based on a formal derivation of the generic structure of its medial axis. By classifying each skeletal ...
Peter J. Giblin, Benjamin B. Kimia