Fast and efficient particle reconstruction on a 3D grid using sparsity

We propose an approach for efficient localization and intensity reconstruction of particles on a 3D grid based on sparsity principles. The computational complexity of the method is limited by using the particle volume reconstruction paradigm (Champagnat et al. in Meas Sci Technol 25, 2014 ) and a reduction in the problem dimension. Tests on synthetic and experimental data show that the proposed method leads to more efficient detections and to reconstructions of higher quality than classical tomoPIV approaches on a large range of seeding densities, up to ppp ≈ 0.12.