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Constrained Regularized Reconstruction of x-Ray-DPCI Tomograms with Weighted-Norm

M. Nilchian, C. Vonesch, S. Lefkimmiatis, P. Modregger, M. Stampanoni, M. Unser

Optics Express, vol. 21, no. 26, pp. 32340-32348, December 30, 2013.

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.

AUTHOR="Nilchian, M. and Vonesch, C. and Lefkimmiatis, S. and Modregger,
        P. and Stampanoni, M. and Unser, M.",
TITLE="Constrained Regularized Reconstruction of {x}-Ray-{DPCI}
        Tomograms with Weighted-Norm",
JOURNAL="Optics Express",
month="December 30,",

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