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Laplace–Beltrami Operator on Point Clouds Based on Anisotropic Voronoi Diagram
(© 2018 The Eurographics Association and John Wiley & Sons Ltd., 2018)
The symmetrizable and converged Laplace–Beltrami operator () is an indispensable tool for spectral geometrical analysis of point clouds. The , introduced by Liu et al. [LPG12] is guaranteed to be symmetrizable, but its ...
Localized Manifold Harmonics for Spectral Shape Analysis
(© 2018 The Eurographics Association and John Wiley & Sons Ltd., 2018)
The use of Laplacian eigenfunctions is ubiquitous in a wide range of computer graphics and geometry processing applications. In particular, Laplacian eigenbases allow generalizing the classical Fourier analysis to manifolds. ...