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- W4299932376 abstract "Many shape analysis methods treat the geometry of an object as a metric space that can be captured by the Laplace-Beltrami operator. In this paper, we propose to adapt the classical Hamiltonian operator from quantum mechanics to the field of shape analysis. To this end we study the addition of a potential function to the Laplacian as a generator for dual spaces in which shape processing is performed. We present a general optimization approach for solving variational problems involving the basis defined by the Hamiltonian using perturbation theory for its eigenvectors. The suggested operator is shown to produce better functional spaces to operate with, as demonstrated on different shape analysis tasks." @default.
- W4299932376 created "2022-10-03" @default.
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- W4299932376 date "2016-11-07" @default.
- W4299932376 modified "2023-09-30" @default.
- W4299932376 title "Hamiltonian operator for spectral shape analysis" @default.
- W4299932376 doi "https://doi.org/10.48550/arxiv.1611.01990" @default.
- W4299932376 hasPublicationYear "2016" @default.
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