@inproceedings{5c3432e90a2e4dd39999d833a10012b5,

title = "Alternating minimization algorithm with iteratively reweighted quadratic penalties for compressive transmission tomography",

abstract = "We propose an alternating minimization (AM) algorithm for estimating attenuation functions in X-ray transmission tomography using priors that promote sparsity in the pixel/voxel differences domain. As opposed to standard maximum-a-posteriori (MAP) estimation, we use the automatic relevance determination (ARD) framework. In the ARD approach, sparsity (or compressibility) is promoted by introducing latent variables which serve as the weights of quadratic penalties, with one weight for each pixel/voxel; these weights are then automatically learned from the data. This leads to an algorithm where the quadratic penalty is reweighted in order to effectively promote sparsity. In addition to the usual object estimate, ARD also provides measures of uncertainty (posterior variances) which are used at each iteration to automatically determine the trade-off between data fidelity and the prior, thus potentially circumventing the need for any tuning parameters. We apply the convex decomposition lemma in a novel way and derive a separable surrogate function that leads to a parallel algorithm. We propose an extension of branchless distance-driven forward/back-projections which allows us to considerably speed up the computations associated with the posterior variances. We also study the acceleration of the algorithm using ordered subsets.",

keywords = "Alternating minimization algorithms, automatic relevance determination, edge preserving priors, helical CT, image reconstruction, posterior variance estimation, reweighted L2, separable surrogates",

author = "Yan Kaganovsky and Soysal Degirmenci and Shaobo Han and Ikenna Odinaka and Politte, {David G.} and Brady, {David J.} and O'Sullivan, {Joseph A.} and Lawrence Carin",

note = "Publisher Copyright: {\textcopyright} 2015 SPIE.; Medical Imaging 2015: Image Processing ; Conference date: 24-02-2015 Through 26-02-2015",

year = "2015",

doi = "10.1117/12.2081986",

language = "English (US)",

series = "Progress in Biomedical Optics and Imaging - Proceedings of SPIE",

publisher = "SPIE",

editor = "Styner, {Martin A.} and Sebastien Ourselin",

booktitle = "Medical Imaging 2015",

}