High-order total variation minimization for interior tomography

DOI10.1088/0266-5611/26/3/035013zbMath1195.65218OpenAlexW2038284539WikidataQ40114299 ScholiaQ40114299MaRDI QIDQ3550649

Ge Wang, Ming Jiang, Hengyong Yu, Jian Sheng Yang

Publication date: 1 April 2010

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

Full work available at URL: http://europepmc.org/articles/pmc2857378

zbMATH Keywords

total variationnumerical examplecomputerized tomographyill-posed problemcompressive sensinglocal tomographyinterior reconstruction problem

Mathematics Subject Classification ID

Biomedical imaging and signal processing (92C55) Radon transform (44A12) Numerical methods for integral transforms (65R10) Numerical methods for inverse problems for integral equations (65R32)

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Estimation and Uncertainty Quantification for Piecewise Smooth Signal Recovery ⋮ Partial data problems and unique continuation in scalar and vector field tomography ⋮ Interior Tomography Using 1D Generalized Total Variation. Part II: Multiscale Implementation ⋮ ROI reconstruction from truncated cone-beam projections ⋮ Mumford-Shah-TV functional with application in X-ray interior tomography ⋮ Interior reconstruction in tomography via prior support constrained compressed sensing ⋮ Shearlet-based regularized reconstruction in region-of-interest computed tomography ⋮ Image restoration using total variation with overlapping group sparsity ⋮ Unique continuation property and Poincaré inequality for higher order fractional Laplacians with applications in inverse problems ⋮ Nonlocal TV-Gaussian prior for Bayesian inverse problems with applications to limited CT reconstruction ⋮ Review of Image Similarity Measures for Joint Image Reconstruction from Multiple Measurements ⋮ X-ray Tomography of One-forms with Partial Data ⋮ Unique continuation of the normal operator of the x-ray transform and applications in geophysics ⋮ XCT image reconstruction by a modified superiorized iteration and theoretical analysis

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