Constrained regularized reconstruction of X-ray-DPCI tomograms with weighted-norm

In this paper we introduce a new reconstruction algorithm for X-ray differential phase-contrast Imaging (DPCI). Our approach is based on 1) a variational formulation with a weighted data term and 2) a variable-splitting scheme that allows for fast convergence while reducing reconstruction artifacts. In order to improve the quality of the reconstruction we take advantage of higher-order total-variation regularization. In addition, the prior information on the support and positivity of the refractive index is considered, which yields significant improvement. We test our method in two reconstruction experiments involving real data; our results demonstrate its potential for in-vivo and medical imaging. (C) 2013 Optical Society of America


Published in:
Optics Express, 21, 26, 32340-32348
Year:
2013
Publisher:
Washington, Optical Society of America
ISSN:
1094-4087
Keywords:
Laboratories:




 Record created 2014-02-17, last modified 2018-10-07

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