A lattice Boltzmann method applied to the fluid image registration

摘要

The aim of this work is to give a new approach to the fluid image registration problem, based on the lattice Boltzmann method (LBM). The lattice Boltzmann method has attracted much attention as a fast alternative approach for solving partial differential equations, especially for fluid flow simulation. In this paper, we propose a stable numerical implementation for the Navier–Stokes equations, such as the fluid image registration problem amounts to solve the Navier–Stokes equation, and to compute the displacement from the velocity using an Euler scheme. The efficiency of the proposed method is approved by different simulated tests.