Vector tomography for reconstructing electric fields with non-zero divergence in bounded domains

DOI10.1016/J.JCP.2016.10.037zbMath1406.78025OpenAlexW2538785359MaRDI QIDQ1714419

Alexandra Koulouri, Mike Brookes, Ville Rimpiläinen

Publication date: 31 January 2019

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10044/1/41519

zbMATH Keywords

inverse problemRadon transformelectric fieldsparsity constraintline integralvector tomography

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Radon transform (44A12) Numerical methods for integral transforms (65R10)

Uses Software

• CVX

Cites Work

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• 3D vector tomography using vector spherical harmonics decomposition
• The method of series expansion for 3-D vector tomography reconstruction
• Poisson inverse problems
• The Radon transform.
• Level set methods and dynamic implicit surfaces
• Integral geometry for tensor fields. Transl. from the Russian
• The Mathematics of Computerized Tomography
• Graph Implementations for Nonsmooth Convex Programs
• Tomographic reconstruction of vector fields
• Discrete Calculus
• Efficient computation of lead field bases and influence matrix for the FEM-based EEG and MEG inverse problem

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