A calculus for non-smooth shape optimization with applications to geometric inverse problems
We are concerned with a class of non-smooth shape optimization problems involving the total variation of the normal vector field along the shape’s boundary in their objective. The discrete version of the total variation functional on triangulated surfaces promotes a separation into flat and non-flat...
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| Auteurs principaux: | , , , |
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| Format: | Chapter/Article |
| Langue: | anglais |
| Publié: |
2022
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| In: |
Non-smooth and complementarity-based distributed parameter systems
Year: 2022, Pages: 101-120 |
| DOI: | 10.1007/978-3-030-79393-7_5 |
| Accès en ligne: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1007/978-3-030-79393-7_5
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| Notes sur l'auteur: | Marc Herrmann, Roland Herzog, Stephan Schmidt, and José Vidal-Núñez |
| Résumé: | We are concerned with a class of non-smooth shape optimization problems involving the total variation of the normal vector field along the shape’s boundary in their objective. The discrete version of the total variation functional on triangulated surfaces promotes a separation into flat and non-flat regions. Applications include mesh denoising problems as well as geometric inverse problems. |
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| Description: | Gesehen am 30.06.2026 |
| Description matérielle: | Online Resource |
| ISBN: | 9783030793937 |
| DOI: | 10.1007/978-3-030-79393-7_5 |