Title

An Algorithm for Constrained One-Step Inversion of Spectral CT Data

Document Type

Article

Language

Eng

Publication Date

2016

Publisher

Institute of Physics

Source Publication

Physics in Medicine and Biology

Source ISSN

1361-6560

Abstract

We develop a primal-dual algorithm that allows for one-step inversion of spectral CT transmission photon counts data to a basis map decomposition. The algorithm allows for image constraints to be enforced on the basis maps during the inversion. The derivation of the algorithm makes use of a local upper bounding quadratic approximation to generate descent steps for non-convex spectral CT data discrepancy terms, combined with a new convex-concave optimization algorithm. Convergence of the algorithm is demonstrated on simulated spectral CT data. Simulations with noise and anthropomorphic phantoms show examples of how to employ the constrained one-step algorithm for spectral CT data.

Comments

"An Algorithm for Constrained One-Step Inversion of Spectral CT Data," in Physics in Medicine and Biology, Vol. 61, No. 10 (2016): 3784-3818. DOI. ©2016 Institute of Physics.

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