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The matching problem between functional shapes via a BV penalty term: a $\Gamma$-convergence result - MaRDI portal

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The matching problem between functional shapes via a BV penalty term: a $\Gamma$-convergence result

From MaRDI portal
Publication:6507436

arXiv1503.07685MaRDI QIDQ6507436

Author name not available (Why is that?)


Abstract: This paper proves a Gamma-convergence result for the discrete energy (to the continuous one) of the matching problem for signals defined on surfaces. In particular, we highlight some geometric properties that must be guaranteed in the discretization process to ensure the convergence of minimizers. The proof is given in the framework of functional shapes introduced in cite{ABN}. In particular, we consider a varifold-type attachment term, and a BV penalty term is used instead of the original L2 norm.




Has companion code repository: https://github.com/fshapes/fshapesTk








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