A Primal-Dual Reconstruction Algorithm For Fluorescence And Bioluminescence Tomography

We introduce a new primal-dual reconstruction algorithm for fluorescence and bioluminescence tomography. As often in optical tomography, image reconstruction is performed by optimizing a multi-term convex cost function. Current reconstruction methods employed in the field are usually limited to cost functions with a smooth data fidelity term; quadratic in general. In addition, the use of a composite regularization term (a sum of multiple terms) requires a substantial adaptation of these methods. Typically one would have to solve a subproblem via a primal-dual method at each iteration. The primaldual scheme presented here is designed to handle directly cost functions composed of multiple, possibly non-smooth, terms. This allows more freedom for the design of tailored cost functions leading to enhanced reconstructions. We illustrate the method on two cases. First, we use a cost function composed of l(1) fidelity and regularization terms. We compare to the reconstructions obtained with the quadratic fidelity counterpart. Second, we employ a cost function composed of three terms : l(1) for data fidelity, total-variation plus (2,1)-mixed norms for regularization.

Published in:
2011 8Th Ieee International Symposium On Biomedical Imaging: From Nano To Macro, 960-963
Presented at:
8th IEEE International Symposium on Biomedical Imaging (ISBI) - From Nano to Macro, Chicago, IL, Mar 30-Apr 02, 2011
Ieee Service Center, 445 Hoes Lane, Po Box 1331, Piscataway, Nj 08855-1331 Usa

 Record created 2012-06-25, last modified 2018-03-17

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