A New Approach for Volume Reconstruction in TomoPIV with the Alternating Directions Method of Multipliers

Ioana Barbu (1) , Cédric Herzet (1)

1 FLUMINANCE - Fluid Flow Analysis, Description and Control from Image Sequences

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). This approach is shown to be an interesting alternative to the " row-action " methods, classically used by the Tomo-PIV community. In particular, our problem formulation 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.

Domaines: Mécanique des fluides [physics.class-ph]; Traitement du signal et de l'image [eess.SP]

Ioana Barbu, Cédric Herzet. A New Approach for Volume Reconstruction in TomoPIV with the Alternating Directions Method of Multipliers. The 11th International Symposium on Particle Image Velocimetry, Sep 2015, Santa Barbara, United States. ⟨hal-01245009v1⟩