Journal article · Preprint article
Convex optimization problem prototyping for image reconstruction in computed tomography with the Chambolle–Pock algorithm
In
Physics in Medicine and Biology
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2012, Volume 57, Issue 10, pp. 3065-3091
Abstract
The primal–dual optimization algorithm developed in Chambolle and Pock (CP) (2011 J. Math. Imag. Vis. 40 1–26) is applied to various convex optimization problems of interest in computed tomography (CT) image reconstruction. This algorithm allows for rapid prototyping of optimization problems for the purpose of designing iterative image reconstruction algorithms for CT.
The primal–dual algorithm is briefly summarized in this paper, and its potential for prototyping is demonstrated by explicitly deriving CP algorithm instances for many optimization problems relevant to CT. An example application modeling breast CT with low-intensity x-ray illumination is presented.
| Language: | English |
|---|---|
| Publisher: | IOP Publishing |
| Year: | 2012 |
| Pages: | 3065-3091 |
| ISSN: | 13616560 and 00319155 |
| Types: | Journal article and Preprint article |
| DOI: | 10.1088/0031-9155/57/10/3065 |
| ORCIDs: | Jørgensen, Jakob Heide |
