A New Optimization Approach to Sparse Reconstruction of Log-Conductivity in Acousto-Electric Tomography

DOI10.1137/17M1148451zbMath1401.35351WikidataQ129602629 ScholiaQ129602629MaRDI QIDQ4689777

Souvik Roy, Alfio Borzì

Publication date: 17 October 2018

Published in: SIAM Journal on Imaging Sciences (Search for Journal in Brave)

zbMATH Keywords

inverse problemsproximal methodsparsityPDE optimizationedge enhancementacousto-electric tomographyultrasound-modulated electrical impedance tomography

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Inverse problems for PDEs (35R30) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Existence theories for optimal control problems involving partial differential equations (49J20) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items

Placement of an Obstacle for Optimizing the Fundamental Eigenvalue of Divergence Form Elliptic Operators ⋮ A fully non-linear optimization approach to acousto-electric tomography ⋮ Acousto-electric tomography with total variation regularization ⋮ Levenberg-Marquardt algorithm for acousto-electric tomography based on the complete electrode model ⋮ Sparse reconstruction of log-conductivity in current density impedance tomography ⋮ Sparsity-based nonlinear reconstruction of optical parameters in two-photon photoacoustic computed tomography ⋮ Sound speed uncertainty in acousto-electric tomography ⋮ A Fokker-Planck feedback control framework for optimal personalized therapies in colon cancer-induced angiogenesis

Uses Software

• iPiano

Cites Work

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