Simulating dynamical systems for early vision
We propose a novel algorithm for stereo matching using a dynamical systems approach. The stereo correspondence problem is first formulated as an energy minimization problem. From the energy function, we derive a system of differential equations describing the corresponding dynamical system of intera...
| Autores: | , |
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| Tipo de recurso: | capítulo de libro |
| Fecha de publicación: | 2009 |
| País: | España |
| Institución: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/7108 |
| Acceso en línea: | https://hdl.handle.net/2117/7108 |
| Access Level: | acceso abierto |
| Palabra clave: | Sistemes dinàmics diferenciables Classificació AMS::65 Numerical analysis::65P Numerical problems in dynamical systems Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals::Sistemes dinàmics |
| Sumario: | We propose a novel algorithm for stereo matching using a dynamical systems approach. The stereo correspondence problem is first formulated as an energy minimization problem. From the energy function, we derive a system of differential equations describing the corresponding dynamical system of interacting elements, which we solve using numerical integration. Optimization is introduced by means of a damping term and a noise term, an idea similar to simulated annealing. The algorithm is tested on the Middlebury stereo benchmark. |
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