An extended primal-dual algorithm framework for nonconvex problems: application to image reconstruction in spectral CT

DOI10.1088/1361-6420/ac79c8OpenAlexW4283080411MaRDI QIDQ5089411

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Publication date: 19 July 2022

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

Full work available at URL: https://doi.org/10.1088/1361-6420/ac79c8

zbMATH Keywords

convexitynonconvex problemsextended primal-dual algorithm frameworknonlinear imagingspectral CT image reconstruction

Mathematics Subject Classification ID

Convex programming (90C25) Numerical optimization and variational techniques (65K10) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18)

Cites Work

• Nonlocal regularized algebraic reconstruction techniques for MRI: an experimental study
• Iterative regularization methods for nonlinear ill-posed problems
• Global convergence of ADMM in nonconvex nonsmooth optimization
• On the quadratic convergence of the Levenberg-Marquardt method without nonsingularity assumption
• A first-order primal-dual algorithm for convex problems with applications to imaging
• Generalized phase retrieval: measurement number, matrix recovery and beyond
• Convergence Analysis of Primal-Dual Algorithms for a Saddle-Point Problem: From Contraction Perspective
• A General Framework for a Class of First Order Primal-Dual Algorithms for Convex Optimization in Imaging Science
• Augmented Lagrangian Method, Dual Methods, and Split Bregman Iteration for ROF, Vectorial TV, and High Order Models
• Sparse and Redundant Representations
• Variational Analysis
• First-Order Methods in Optimization
• Acceleration and Global Convergence of a First-Order Primal-Dual Method for Nonconvex Problems
• A primal–dual hybrid gradient method for nonlinear operators with applications to MRI
• An efficient algorithm to compute the X-ray transform
• On the Convergence of Stochastic Gradient Descent for Nonlinear Ill-Posed Problems
• A limited memory BFGS method for a nonlinear inverse problem in digital breast tomosynthesis

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