A new approach for volume reconstruction in TomoPIV with the alternating direction method of multipliers

Ioana Barbu 1 Cédric Herzet 1
1 FLUMINANCE - Fluid Flow Analysis, Description and Control from Image Sequences
IRMAR - Institut de Recherche Mathématique de Rennes, IRSTEA - Institut national de recherche en sciences et technologies pour l'environnement et l'agriculture, Inria Rennes – Bretagne Atlantique
Abstract : We adapt and import into the TomoPIV scenery a fast algorithm for solving the volume reconstruction problem. Our approach is based on the reformulation of the volume reconstruction task as a constrained optimization problem and the resort to the " Alternating Directions Method of Multipliers " (ADMM). The inherent primal-dual algorithm is summarized in this article to solve the optimization problem related to the TomoPIV. In particular, the general formulation of the volume reconstruction problem considered in this paper allows to: i) take explicitly into account the level of the noise affecting the data; ii) account for both the nonnegativity and the sparsity of the solution. Experiments on a numerical TomoPIV benchmark show that the proposed framework is a serious contender for the state-of-the-art.
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Measurement Science and Technology, IOP Publishing, 2016, 27, pp.21. 〈10.1088/0957-0233/27/10/104002〉
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Ioana Barbu, Cédric Herzet. A new approach for volume reconstruction in TomoPIV with the alternating direction method of multipliers. Measurement Science and Technology, IOP Publishing, 2016, 27, pp.21. 〈10.1088/0957-0233/27/10/104002〉. 〈hal-01419329〉

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