A Mumford-Shah level-set approach for the inversion and segmentation of SPECT/CT data

DOI10.3934/ipi.2011.5.137zbMath1213.94015OpenAlexW2314941421MaRDI QIDQ534498

Wolfgang Ring, Esther Klann, Ronny Ramlau

Publication date: 17 May 2011

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

Full work available at URL: https://doi.org/10.3934/ipi.2011.5.137

zbMATH Keywords

inverse problemslevel set methodtomographyMumford-Shah functionalactive contoursshape sensitivity analysis

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Numerical methods based on necessary conditions (49M05) Medical applications (general) (92C50) Radon transform (44A12) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Inverse problems for functional-differential equations (34K29)

Related Items (14)

Parameter selection in a Mumford-Shah geometrical model for the detection of thin structures ⋮ Placement of an Obstacle for Optimizing the Fundamental Eigenvalue of Divergence Form Elliptic Operators ⋮ An algorithmic framework for Mumford–Shah regularization of inverse problems in imaging ⋮ Dynamic multi-source X-ray tomography using a spacetime level set method ⋮ A Mumford-Shah-type approach to simultaneous reconstruction and segmentation for emission tomography problems with Poisson statistics ⋮ Task adapted reconstruction for inverse problems ⋮ Cauchy difference priors for edge-preserving Bayesian inversion ⋮ A fractional-order image segmentation model with application to low-contrast and piecewise smooth images ⋮ 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 ⋮ Modern regularization methods for inverse problems ⋮ Simultaneous tomographic reconstruction and segmentation with class priors ⋮ Multi-channel Potts-based reconstruction for multi-spectral computed tomography ⋮ A fast method for simultaneous reconstruction and segmentation in X-ray CT application

Uses Software

• TIGRA

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