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SGP
2007
13 years 7 months ago
Laplace-Beltrami eigenfunctions for deformation invariant shape representation
A deformation invariant representation of surfaces, the GPS embedding, is introduced using the eigenvalues and eigenfunctions of the Laplace-Beltrami differential operator. Notabl...
Raif M. Rustamov
ISBI
2011
IEEE
12 years 8 months ago
Laplace-Beltrami eigenfunction expansion of cortical manifolds
We represent a shape representation technique using the eigenfunctions of Laplace-Beltrami operator and compare the performance with the conventional spherical harmonic (SPHARM) r...
Seongho Seo, Moo K. Chung
ISBI
2009
IEEE
13 years 11 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 h...
Rongjie Lai, Yonggang Shi, Ivo D. Dinov, Tony F. C...
MICCAI
2009
Springer
14 years 5 months ago
Cortical Shape Analysis in the Laplace-Beltrami Feature Space
For the automated analysis of cortical morphometry, it is critical to develop robust descriptions of the position of anatomical structures on the convoluted cortex. Using the eigen...
Yonggang Shi, Ivo D. Dinov, Arthur W. Toga
CGF
2008
144views more  CGF 2008»
13 years 4 months ago
Global Intrinsic Symmetries of Shapes
Although considerable attention in recent years has been given to the problem of symmetry detection in general shapes, few methods have been developed that aim to detect and quant...
Maks Ovsjanikov, Jian Sun, Leonidas J. Guibas