The inverse problem of magnetorelaxometry imaging

DOI10.1088/1361-6420/aadbbfzbMath1406.78019arXiv1802.05937OpenAlexW2788109842MaRDI QIDQ4682397

Janic Föcke, Daniel Baumgarten, Martin Burger

Publication date: 18 September 2018

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

Full work available at URL: https://arxiv.org/abs/1802.05937

zbMATH Keywords

ADMMuniquenessinverse source problemtotal variation regularizationmagnetic nanoparticlesmagnetic remanencemagnetorelaxometry imaging

Mathematics Subject Classification ID

Ill-posedness and regularization problems in numerical linear algebra (65F22) Biological applications of optics and electromagnetic theory (78A70) Biomedical imaging and signal processing (92C55) Inverse problems for PDEs (35R30) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Variational methods applied to problems in optics and electromagnetic theory (78M30) Numerical methods for ill-posed problems for boundary value problems involving PDEs (65N20)

Related Items (1)

Bayesian design of measurements for magnetorelaxometry imaging ^*

Cites Work

• On forward and inverse models in fluorescence diffuse optical tomography
• Ground states and singular vectors of convex variational regularization methods
• Analysis of bounded variation penalty methods for ill-posed problems
• A Guide to the TV Zoo
• An Iterative Regularization Method for Total Variation-Based Image Restoration
• Inverse problems for partial differential equations
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