Anisotropic Laplace-Beltrami Operators for Shape Analysis

摘要: This paper introduces an anisotropic Laplace-Beltrami operator for shape analysis. While keeping useful properties of the standard operator, it variability in directions principal curvature, giving rise to a more intuitive and semantically meaningful diffusion process. Although benefits have already been noted area mesh processing (e.g. surface regularization), focusing on Laplacian itself, rather than process induces, opens possibility effectively replace omnipresent many analysis methods. After providing mathematical formulation this new we derive practical implementation discrete meshes. Further, demonstrate effectiveness our when employed conjunction with different methods segmentation matching.