Discrete Laplace-Beltrami Operators for Shape Analysis and Segmentation.
M. Reuter, S. Biasotti, D. Giorgi, G. Patane, M. Spagnuolo.
SMI'09, Computers & Graphics 33(3):381-390, 2009.
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In this paper, we first analyze different common discretizations of the Laplace-Beltrami operator (geometric Laplacians, linear and cubic FEM operators) in terms of the correctness of their eigenfunctions with respect to the continuous case. We then present the family of segmentations induced by the nodal sets of the eigenfunctions, discussing its meaningfulness for shape understanding. hide |