Regularization Properties of Mumford--Shah-Type Functionals with Perimeter and Norm Constraints for Linear Ill-Posed Problems

DOI10.1137/110858422zbMath1282.35404OpenAlexW1974812056MaRDI QIDQ2873202

Publication date: 23 January 2014

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

Full work available at URL: http://depositonce.tu-berlin.de/handle/11303/6531

zbMATH Keywords

regularization ill-posed problems Mumford-Shah SPECT

Mathematics Subject Classification ID

Ill-posedness and regularization problems in numerical linear algebra (65F22) Numerical optimization and variational techniques (65K10) Medical applications (general) (92C50) Ill-posed problems for PDEs (35R25) Radon transform (44A12) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08)

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Mumford–Shah regularization in electrical impedance tomography with complete electrode model ⋮ A Mumford-Shah-type approach to simultaneous reconstruction and segmentation for emission tomography problems with Poisson statistics ⋮ Mumford-Shah-TV functional with application in X-ray interior tomography ⋮ Iterative Potts minimization for the recovery of signals with discontinuities from indirect measurements: the multivariate case ⋮ Modern regularization methods for inverse problems ⋮ Multi-channel Potts-based reconstruction for multi-spectral computed tomography

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