Dynamic linear inverse problems with moderate movements of the object: ill-posedness and regularization

DOI10.3934/ipi.2015.9.395zbMath1332.65193OpenAlexW2331031946MaRDI QIDQ255997

Bernadette N. Hahn

Publication date: 9 March 2016

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

Full work available at URL: https://doi.org/10.3934/ipi.2015.9.395

zbMATH Keywords

regularizationsingular value decompositiondynamic inverse problemsimaging dynamic objectsmoderate deformationmotion compensation

Mathematics Subject Classification ID

Numerical methods for inverse problems for integral equations (65R32) Linear integral equations (45A05) Inverse problems for integral equations (45Q05)

Related Items (8)

A numerical solution of the dynamic vector tomography problem using the truncated singular value decomposition method ⋮ Efficient generalized Golub–Kahan based methods for dynamic inverse problems ⋮ The Singular Value Decomposition of the Operators of the Dynamic Ray Transforms Acting on 2D Vector Fields ⋮ Null space and resolution in dynamic computerized tomography ⋮ Motion Compensation Strategies in Tomography ⋮ Enhancing Compressed Sensing 4D Photoacoustic Tomography by Simultaneous Motion Estimation ⋮ Solving inverse problems using data-driven models ⋮ Motion Estimation and Correction in Photoacoustic Tomographic Reconstruction

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• Efficient algorithms for the regularization of dynamic inverse problems: II. Applications
• Linear and Nonlinear Inverse Problems with Practical Applications
• On Regularization Methods for Inverse Problems of Dynamic Type
• Efficient algorithms for linear dynamic inverse problems with known motion

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