Total variation regularization in measurement and image space for PET reconstruction

DOI10.1088/0266-5611/30/10/105003zbMath1308.65214arXiv1403.1272OpenAlexW2962782629MaRDI QIDQ2936484

Martin Burger, Carola-Bibiane Schönlieb, Evangelos Papoutsellis, Jahn Müller

Publication date: 17 December 2014

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

Full work available at URL: https://arxiv.org/abs/1403.1272

zbMATH Keywords

total variationimage reconstructionpositron emission tomographynumerical resultvariational regularizationBregman algorithm

Mathematics Subject Classification ID

Radon transform (44A12) Numerical methods for integral transforms (65R10) Numerical methods for inverse problems for integral equations (65R32) General biology and biomathematics (92B05)

Related Items (14)

Error bounds and stability in the \(\ell_0\) regularized for CT reconstruction from small projections ⋮ CT Image Reconstruction by Spatial-Radon Domain Data-Driven Tight Frame Regularization ⋮ A variational method for Abel inversion tomography with mixed Poisson-Laplace-Gaussian noise ⋮ A Mumford-Shah-type approach to simultaneous reconstruction and segmentation for emission tomography problems with Poisson statistics ⋮ Existence and convergence analysis of \(\ell_{0}\) and \(\ell_{2}\) regularizations for limited-angle CT reconstruction ⋮ A combined first and fractional order regularization method for mixed Poisson-White spike noisy image restoration ⋮ Influence of dimension on the convergence of level-sets in total variation regularization ⋮ A review on deep learning in medical image reconstruction ⋮ PET-MRI Joint Reconstruction by Joint Sparsity Based Tight Frame Regularization ⋮ Modern regularization methods for inverse problems ⋮ CT image reconstruction algorithms based on the Hanke Raus parameter choice rule ⋮ Infimal Convolution of Data Discrepancies for Mixed Noise Removal ⋮ Scaled, Inexact, and Adaptive Generalized FISTA for Strongly Convex Optimization ⋮ A nested primal-dual FISTA-like scheme for composite convex optimization problems

Uses Software

• tvreg

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