Techniques for regularization parameter and hyper-parameter selection in PET and SPECT imaging

DOI10.1080/17415977.2010.550048zbMath1217.62092OpenAlexW1964852817MaRDI QIDQ3007809

John Goldes, Johnathan M. Bardsley

Publication date: 17 June 2011

Published in: Inverse Problems in Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17415977.2010.550048

zbMATH Keywords

positron emission tomographyPoisson noiseregularization parameter selectionBayesian statistical methodssingle photon emission computed tomography

Mathematics Subject Classification ID

Image analysis in multivariate analysis (62H35) Numerical optimization and variational techniques (65K10) Biomedical imaging and signal processing (92C55) Numerical solution to inverse problems in abstract spaces (65J22)

Related Items (4)

Restoration of Poissonian Images Using Nonconvex Regularizer with Overlapping Group Sparsity ⋮ Restoring Poissonian images by a combined first-order and second-order variation approach ⋮ Deblurring Poisson noisy images by total variation with overlapping group sparsity ⋮ Alternating direction method for the high-order total variation-based Poisson noise removal problem

Cites Work

• A theoretical framework for the regularization of Poisson likelihood estimation problems
• Total variation-penalized Poisson likelihood estimation for ill-posed problems
• The Mathematics of Computerized Tomography
• Mathematical Methods in Image Reconstruction
• A Newton root-finding algorithm for estimating the regularization parameter for solving ill-conditioned least squares problems
• An analysis of regularization by diffusion for ill-posed Poisson likelihood estimations
• Practical Approximate Solutions to Linear Operator Equations When the Data are Noisy
• A Nonnegatively Constrained Convex Programming Method for Image Reconstruction
• Computational Methods for Inverse Problems
• Tikhonov regularized Poisson likelihood estimation: theoretical justification and a computational method

This page was built for publication: Techniques for regularization parameter and hyper-parameter selection in PET and SPECT imaging