@inproceedings{531586eecdd64e6091d68c2ca7f74e78,
title = "Laplace-beltrami nodal counts: A new signature for 3D shape analysis",
abstract = "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.",
keywords = "Eigenfunction, Laplace-beltrami, Nodal counts, Shape",
author = "Rongjie Lai and Yonggang Shi and Ivo Dinov and Chan, {Tony F.} and Toga, {Arthur W.}",
year = "2009",
doi = "10.1109/ISBI.2009.5193142",
language = "English (US)",
isbn = "9781424439324",
series = "Proceedings - 2009 IEEE International Symposium on Biomedical Imaging: From Nano to Macro, ISBI 2009",
pages = "694--697",
booktitle = "Proceedings - 2009 IEEE International Symposium on Biomedical Imaging",
note = "2009 IEEE International Symposium on Biomedical Imaging: From Nano to Macro, ISBI 2009 ; Conference date: 28-06-2009 Through 01-07-2009",
}