Isometry-invariant Matching of Point Set Surfaces (English)

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Shape deformations preserving the intrinsic properties of a surface are called isometries. An isometry deforms a surface without tearing or stretching it, and preserves geodesic distances. We present a technique for matching point set surfaces, which is invariant with respect to isometries. A set of reference points, evenly distributed on the point set surface, is sampled by farthest point sampling. The geodesic distance between reference points is normalized and stored in a geodesic distance matrix. Each row of the matrix yields a histogram of its elements. The set of histograms of the rows of a distance matrix is taken as a descriptor of the shape of the surface. The dissimilarity between two point set surfaces is computed by matching the corresponding sets of histograms with bipartite graph matching. This is an effective method for classifying and recognizing objects deformed with isometric transformations, e.g., non-rigid and articulated objects in different postures.

Table of contents conference proceedings

The tables of contents are generated automatically and are based on the data records of the individual contributions available in the index of the TIB portal. The display of the Tables of Contents may therefore be incomplete.

1
Characterizing Shape Using Conformal Factors
Ben-Chen, Mirela / Gotsman, Craig | 2008
9
3D Object Retrieval using an Efficient and Compact Hybrid Shape Descriptor
Papadakis, Panagiotis / Pratikakis, Ioannis / Theoharis, Theoharis / Passalis, Georgios / Perantonis, Stavros | 2008
17
Isometry-invariant Matching of Point Set Surfaces
Ruggeri, Mauro R. / Saupe, Dietmar | 2008
25
Markov Random Fields for Improving 3D Mesh Analysis and Segmentation
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33
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41
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49
A Neurofuzzy Approach to Active Learning based Annotation Propagation for 3D Object Databases
Lazaridis, Michalis / Daras, Petros | 2008
57
Face Recognition by SVMs Classification and Manifold Learning of 2D and 3D Radial Geodesic Distances
Berretti, Stefano / Bimbo, Alberto Del / Pala, Pietro / Mata, Francisco Josè Silva | 2008
65
A 3D Face Recognition Algorithm Using Histogram-based Features
Zhou, Xuebing / Seibert, Helmut / Busch, Christoph / Funk, Wolfgang | 2008
73
On-line and Open Platform for 3D Object Retrieval
Bonhomme, Benoit Le / Mustafa, B. / Celakovsky, Sasko / Preda, Marius / Preteux, Francoise / Davcev, D. | 2008
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