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2009
IEEE

Laplace-Beltrami Nodal Counts: A New Signature for 3D Shape Analysis

10 years 4 months ago
Laplace-Beltrami Nodal Counts: A New Signature for 3D Shape Analysis
In this paper we develop a new approach of analyzing 3D shapes based on the eigen-system of the Laplace-Beltrami operator. While the eigenvalues of the Laplace-Beltrami operator have been used previously in shape analysis, they are unable to differentiate isospectral shapes. To overcome this limitation, we propose here a new signature based on nodal counts of the eigenfunctions. This signature provides a compact representation of the geometric information that is missing in the eigenvalues. In our experiments, we demonstrate that the proposed signature can successfully classify anatomical shapes with similar eigenvalues.
Rongjie Lai, Yonggang Shi, Ivo D. Dinov, Tony F. C
Added 19 May 2010
Updated 19 May 2010
Type Conference
Year 2009
Where ISBI
Authors Rongjie Lai, Yonggang Shi, Ivo D. Dinov, Tony F. Chan, Arthur W. Toga
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