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Matching 2D and 3D Articulated Shapes using Eccentricity

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Date
2011
Link to item file
http://hal.archives-ouvertes.fr/hal-00365019/en/
Dewey
Traitement du signal
Sujet
Eccentricity Transform; Geodesic Distance; Articulation; Shape Matching
Journal issue
Computer Vision and Image Understanding
Volume
115
Number
6
Publication date
2011
Article pages
817-834
Publisher
Elsevier
DOI
http://dx.doi.org/10.1016/j.cviu.2011.02.006
URI
https://basepub.dauphine.fr/handle/123456789/3668
Collections
  • CEREMADE : Publications
Metadata
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Author
Cohen, Laurent D.
Kropatsch, Walter G.
Peyré, Gabriel
Artner, Nicole M.
Ion, Adrian
Type
Article accepté pour publication ou publié
Abstract (EN)
This paper presents a novel method for 2D and 3D shape matching that is insensitive to articulation. It uses the eccentricity transform, which is based on the computation of geodesic distances. Geodesic distances computed over a 2D or 3D shape are articulation insensitive. The eccentricity transform considers the length of the longest geodesics. Histograms of the eccentricity transform characterize the compactness of a shape, in a way insensitive to rotation, scaling, and articulation. To characterize the structure of a shape, a histogram of the connected components of the level sets of the transform is used. These two histograms make up a highly compact descriptor and the re- sulting method for shape matching is straightforward. Experimental results on established 2D and 3D benchmarks show results similar to more com- plex state of the art methods, especially when considering articulation. The connection between the geometrical modification of a shape and the corre- sponding impact on its histogram representation is explained. The influence of the number of bins in the two histograms and the respective importance of each histogram is studied in detail.

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