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• W1758110319 startingPage "676" @default.
• W1758110319 abstract "The heat diffusion distance and kernel have gained a central role in geometry processing and shape analysis. This paper addresses a novel discretization and spectrum-free computation of the diffusion kernel and distance on a 3D shape P represented as a triangle mesh or a point set. After rewriting different discretizations of the Laplace–Beltrami operator in a unified way and using an intrinsic scalar product on the space of functions on P, we derive a shape-intrinsic heat kernel matrix, together with the corresponding diffusion distances. Then, we propose an efficient computation of the heat distance and kernel through the solution of a set of sparse linear systems. In this way, we bypass the evaluation of the Laplacian spectrum, the selection of a specific subset of eigenpairs, and the use of multi-resolutive prolongation operators. The comparison with previous work highlights the main features of the proposed approach in terms of smoothness, stability to shape discretization, approximation accuracy, and computational cost." @default.
• W1758110319 created "2016-06-24" @default.
• W1758110319 creator A5068329396 @default.
• W1758110319 creator A5079829556 @default.
• W1758110319 date "2013-10-01" @default.
• W1758110319 modified "2023-10-18" @default.
• W1758110319 title "Heat diffusion kernel and distance on surface meshes and point sets" @default.
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• W1758110319 doi "https://doi.org/10.1016/j.cag.2013.05.019" @default.
• W1758110319 hasPublicationYear "2013" @default.
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