Discrete total variation of the normal vector field as shape prior with applications in geometric inverse problems

DOI10.1088/1361-6420/ab6d5cOpenAlexW3099016725MaRDI QIDQ5000592

Stephan Schmidt, José Vidal-Nuñez, Ronny Bergmann, Marc Herrmann, Roland Griesse

Publication date: 14 July 2021

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.07916

zbMATH Keywords

shape optimizationdiscrete differential geometrygeometric inverse problemsplit Bregman iterationinclusion detectiontotal variation of the normal

Mathematics Subject Classification ID

Numerical methods for partial differential equations, boundary value problems (65Nxx) Numerical methods in optimal control (49Mxx) Communication, information (94Axx) Computing methodologies and applications (68Uxx) Numerical methods for mathematical programming, optimization and variational techniques (65Kxx)

Related Items

Total Generalized Variation for Piecewise Constant Functions on Triangular Meshes with Applications in Imaging ⋮ Optimal control and inverse problems

Uses Software

• FEniCS
• UFL

Cites Work

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