Alternating Minimization Algorithm with Automatic Relevance Determination for Transmission Tomography under Poisson Noise

DOI10.1137/141000038zbMath1330.94009arXiv1412.8464OpenAlexW2963981262MaRDI QIDQ3454486

David Brady, David G. Politte, Shaobo Han, Lawrence Carin, Joseph A. O'Sullivan, Yan Kaganovsky, Soysal Degirmenci

Publication date: 25 November 2015

Published in: SIAM Journal on Imaging Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.8464

zbMATH Keywords

Poisson noisealternating minimizationtransmission tomographyautomatic relevance determinationoptimization transferx-ray CT

Mathematics Subject Classification ID

Ill-posedness and regularization problems in numerical linear algebra (65F22) Convex programming (90C25) Nonconvex programming, global optimization (90C26) Nonlinear programming (90C30) Numerical optimization and variational techniques (65K10) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Numerical solution to inverse problems in abstract spaces (65J22)

Related Items (3)

A variational method for Abel inversion tomography with mixed Poisson-Laplace-Gaussian noise ⋮ A combined first and fractional order regularization method for mixed Poisson-White spike noisy image restoration ⋮ Accelerated alternating minimization algorithm for Poisson noisy image recovery

Uses Software

• Matlab
• spBayes
• VARD
• PRMLT

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