Notes on the discretization of TV-norm regularized inverse potential problems
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866908345617612800 |
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| author | Baratchart, L Hardin, D P Villalobos-Guillén, C |
| author_facet | Baratchart, L Hardin, D P Villalobos-Guillén, C |
| contents | We describe a method to discretize optimization problems arising in the regularization of linear inverse problem having compact forward operator defined on 3-D valed measures, compactly supported on a fixed set. The criterion is a quadratic residual attached to the data, with an additive penalization of the total variation of the measure. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_00710 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Notes on the discretization of TV-norm regularized inverse potential problems Baratchart, L Hardin, D P Villalobos-Guillén, C Optimization and Control Numerical Analysis We describe a method to discretize optimization problems arising in the regularization of linear inverse problem having compact forward operator defined on 3-D valed measures, compactly supported on a fixed set. The criterion is a quadratic residual attached to the data, with an additive penalization of the total variation of the measure. |
| title | Notes on the discretization of TV-norm regularized inverse potential problems |
| topic | Optimization and Control Numerical Analysis |
| url | https://arxiv.org/abs/2505.00710 |