Comparison of approaches based on optimization and algebraic iteration for binary tomography

DOI10.1016/j.cpc.2010.09.004zbMath1219.65041OpenAlexW2026924759MaRDI QIDQ549001

Weiwei Cai, Lin Ma

Publication date: 30 June 2011

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cpc.2010.09.004

zbMATH Keywords

regularizationnumerical examplessimulated annealingdiscrete tomographybinary tomographyalgebraic iterationcomputation efficiency

Mathematics Subject Classification ID

Ill-posedness and regularization problems in numerical linear algebra (65F22) Combinatorial optimization (90C27)

Cites Work

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• Optimization by Simulated Annealing
• Applications of critical temperature in minimizing functions of continuous variables with simulated annealing algorithm
• Application of simulated annealing for multispectral tomography
• Generic iterative subset algorithms for discrete tomography
• A randomized Kaczmarz algorithm with exponential convergence
• Discrete tomography. Foundations, algorithms, and applications
• Discrete tomography by convex--concave regularization and D.C. programming
• Reconstruction of a uniform star object from interior x-ray data: uniqueness, stability and algorithm
• Minimizing multimodal functions of continuous variables with the “simulated annealing” algorithm—Corrigenda for this article is available here
• Numerical tools for analysis and solution of Fredholm integral equations of the first kind
• Binary steering in discrete tomography reconstruction with sequential and simultaneous iterative algorithms

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