Bo Wang, Zemin Cai, Lixin Shen, Tianshu Liu
Abstract: A variational solution of the physics-based optical flow equation is studied for extraction of high-resolution velocity fields from flow visualization images. The solution to preserve discontinuities in a fluid velocity field is mathematically justified. The uniqueness of the solution and the convergence of a successive approximation sequence are proven. A numerical algorithm is developed and examined through numerical experiments.
Journal: Journal of Computational and Applied Mathematics 276 (2015), 62–80.
DOI: 10.1016/j.cam.2014.08.020