Model-based reconstruction for magnetic particle imaging in 2D and 3D

DOI10.3934/ipi.2016033zbMath1348.92100arXiv1605.08095OpenAlexW2964252305MaRDI QIDQ338606

Andreas Weinmann, Thomas März

Publication date: 7 November 2016

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

Full work available at URL: https://arxiv.org/abs/1605.08095

zbMATH Keywords

inverse problemsphase spacemagnetic particle imagingmodel-based reconstructionreconstruction formulae

Mathematics Subject Classification ID

Biomedical imaging and signal processing (92C55) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Numerical methods for inverse problems for integral equations (65R32)

Related Items

Mathematical analysis of the 1D model and reconstruction schemes for magnetic particle imaging ⋮ Mathematical models for magnetic particle imaging ⋮ On the degree of ill-posedness of multi-dimensional magnetic particle imaging ⋮ A new 3D model for magnetic particle imaging using realistic magnetic field topologies for algebraic reconstruction ⋮ Recovery from errors due to domain truncation in magnetic particle imaging: approximation error modeling approach ⋮ Parameter Identification for the Landau–Lifshitz–Gilbert Equation in Magnetic Particle Imaging

Uses Software

• pottslab
• inpaintBCT

Cites Work

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• Fast Partitioning of Vector-Valued Images
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• The $L^1$-Potts Functional for Robust Jump-Sparse Reconstruction
• Iterative Potts and Blake–Zisserman minimization for the recovery of functions with discontinuities from indirect measurements
• An introduction to the mathematical theory of inverse problems

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