The matching problem between functional shapes via a BV penalty term: a $Γ$-convergence result
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
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2015
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| _version_ | 1866917569888256000 |
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| author | Nardi, G. Charlier, B. Trouvé, A. |
| author_facet | Nardi, G. Charlier, B. Trouvé, A. |
| contents | This paper proves a $Γ$-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 $L^2$ norm. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1503_07685 |
| institution | arXiv |
| publishDate | 2015 |
| record_format | arxiv |
| spellingShingle | The matching problem between functional shapes via a BV penalty term: a $Γ$-convergence result Nardi, G. Charlier, B. Trouvé, A. Optimization and Control This paper proves a $Γ$-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 $L^2$ norm. |
| title | The matching problem between functional shapes via a BV penalty term: a $Γ$-convergence result |
| topic | Optimization and Control |
| url | https://arxiv.org/abs/1503.07685 |