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: Vision par ordinateur et reconnaissance de formes [cs.CV]; 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. PIV15, The 11th International Symposium on Particle Image Velocimetry, Sep 2015, Santa Barbara, California, United States. ⟨hal-01245009v2⟩