Regularization of ill-posed Mumford–Shah models with perimeter penalization
From MaRDI portal
Publication:3061215
DOI10.1088/0266-5611/26/11/115001zbMath1226.47105OpenAlexW2027683087MaRDI QIDQ3061215
Publication date: 14 December 2010
Published in: Inverse Problems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/0266-5611/26/11/115001
Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Linear operators and ill-posed problems, regularization (47A52) Applications of operator theory in numerical analysis (47N40)
Related Items (13)
Parameter selection in a Mumford-Shah geometrical model for the detection of thin structures ⋮ Simultaneous reconstruction and segmentation with the Mumford-Shah functional for electron tomography ⋮ An algorithmic framework for Mumford–Shah regularization of inverse problems in imaging ⋮ 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 ⋮ Geometric reconstruction in bioluminescence tomography ⋮ Existence of minimizers of the Mumford-Shah functional with singular operators and unbounded data ⋮ Reconciling Bayesian and Perimeter Regularization for Binary Inversion ⋮ An Algorithm for Second Order Mumford--Shah Models Based on a Taylor Jet Formulation ⋮ Iterative Potts minimization for the recovery of signals with discontinuities from indirect measurements: the multivariate case ⋮ Learning discontinuous piecewise affine fitting functions using mixed integer programming over lattice ⋮ Smoothing for signals with discontinuities using higher order Mumford-Shah models ⋮ Multi-channel Potts-based reconstruction for multi-spectral computed tomography
This page was built for publication: Regularization of ill-posed Mumford–Shah models with perimeter penalization
