Vortex and Source Particles for Fluid Motion Estimation

9 years 11 months ago
Vortex and Source Particles for Fluid Motion Estimation
In this paper we propose a new motion estimator for image sequences depicting fluid flows. The proposed estimator is based on the Helmholtz decomposition of vector fields. This decomposition consists in representing the velocity field as a sum of a divergence free component and a curl free component. The objective is to provide a low-dimensional parametric representation of optical flows by depicting them as a flow generated by a small number of vortex and source particles. Both components are approximated using a discretization of the vorticity and divergence maps through regularized Dirac measures. The resulting so called irrotational and solenoidal fields consist then in linear combinations of basis functions obtained through a convolution product of the Green kernel gradient and the vorticity map or the divergence map respectively. The coefficient values and the basis function parameters are obtained by minimization of a functional relying on an integrated version of mass c...
Anne Cuzol, Étienne Mémin
Added 28 Jun 2010
Updated 28 Jun 2010
Type Conference
Year 2005
Authors Anne Cuzol, Étienne Mémin
Comments (0)