Name
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 us 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. |
Year | DOI | Venue |
|---|---|---|
2002 | 10.1109/ICPR.2002.1044722 | ICPR (1) |
Keywords | Field | DocType |
finite difference methods,thermal conductivity,optical computing,optical flow,partial differential equations,heat transfer,computer algebra,topology | Applied mathematics,Algebraic topology,Computer science,Mathematical analysis,Artificial intelligence,Differential equation,Pattern recognition,Differential algebraic geometry,Numerical partial differential equations,Differential algebraic equation,Stochastic partial differential equation,Optical flow,Partial differential equation | Conference |
Volume | ISSN | ISBN |
1 | 1051-4651 | 0-7695-1695-X |
Citations | PageRank | References |
4 | 0.47 | 3 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| M. F. Auclair-Fortier | 1 | 7 | 0.93 |
| P. Poulin | 2 | 4 | 0.47 |
| Djemel Ziou | 3 | 1395 | 99.40 |
| Madjid Allili | 4 | 46 | 8.64 |