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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. ...
Re‐Weighting Firefly Samples for Improved Finite‐Sample Monte Carlo Estimates
(© 2018 The Eurographics Association and John Wiley & Sons Ltd., 2018)
Samples with high contribution but low probability density, often called fireflies, occur in all practical Monte Carlo estimators and are part of computing unbiased estimates. For finite‐sample estimates, however, they can ...