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PreprintCC BY 4.0HAL

Notes on the discretization of TV-NORM regularized inverse potential problems

  • L Baratchart
  • D P Hardin
  • Cristóbal Villalobos Guillén
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Abstract

We describe a method to discretize optimization problems arising in the regularization of linear inverse problem having compact forward operator defined on 3-D valued 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.

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Cite

BibTeXRIS
BibTeX
@misc{baratchart2026notes,
  title = {{Notes on the discretization of TV-NORM regularized inverse potential problems}},
  author = {L Baratchart and D P Hardin and Cristóbal Villalobos Guillén},
  howpublished = {HAL},
  year = {2026},
  month = oct,
  eprint = {2505.00710},
  archivePrefix = {arXiv},
  url = {https://hal.science/hal-05008293v2},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Notes on the discretization of TV-NORM regularized inverse potential problems
AU  - L Baratchart
AU  - D P Hardin
AU  - Cristóbal Villalobos Guillén
PY  - 2026
DA  - 2026/10/02
PB  - HAL
UR  - https://hal.science/hal-05008293v2
AB  - We describe a method to discretize optimization problems arising in the regularization of linear inverse problem having compact forward operator defined on 3-D valued 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.
ER  -