Title :
A computational algebraic topology approach for optical flow
Author :
Auclair-Fortier, M.E. ; Poulin, P. ; Ziou, D. ; Allili, M.
Author_Institution :
Groupe de Moivre-EMI, Sherbrooke Univ., Que., Canada
Abstract :
This paper proposes an alternative to partial differential equations (PDEs) for the solution of the optical flow problem. The problem is modeled using the heat transfer process. Instead of using PDEs, we propose to use the global equation of heat conservation. We use a computational algebraic topology-based image model which allows as to encode some underlying physical laws by linking a global value on a domain with values on its boundary. The numerical scheme is derived in a straightforward way from the problem modeled and provides a physical explanation of each solving step. Experimental results are presented.
Keywords :
heat transfer; image sequences; partial differential equations; computational algebraic topology approach; computational algebraic topology-based image model; heat conservation; heat transfer process; optical flow; partial differential equations; Conducting materials; Equations; Finite difference methods; Heat transfer; Image motion analysis; Joining processes; Optical computing; Space heating; Thermal conductivity; Topology;
Conference_Titel :
Pattern Recognition, 2002. Proceedings. 16th International Conference on
Print_ISBN :
0-7695-1695-X
DOI :
10.1109/ICPR.2002.1044722