Liverpool Centre for Mathematics in Healthcare

Thursday 31st May 2018 - Large displacements and varying illumination in Motion Analysis

Speaker: Professor Zakaria Belhachmi, University of Haute Alsace, France

Thursday 31st May 2018, 3.00pm – 4.00pm

SIRE Seminar Room, Chadwick Building

Abstract: We consider a unified variational PDEs model to solve the optic flow problem for large displacements and varying illumination. In this problem, the energy functional is nonconvex and severely nonlinear, moreover phenomena like occlusions and brutal changes in the scene increase strongly the difficulties and constitute a great challenge for any mathematical model or numerical method. We present an approach which aims to solve such problem within a solid mathematical framework and with efficient effective algorithms. In particular, we resort to a combined space-time parallel programming strategy which gives raise to several iterative schemes and allows us to obtain a good balance between several objectives, e.g. sparsity of the optic flow, edge-preserving, as well as high accuracy and cost reduction. We present several numerical simulations to validate the different algorithms and to compare their performances.