| Presentation | 2006-10-20 The Higher Order Constraints for Optical-Flow Computation Atsushi IMIYA, Yusuke KAMEDA, Tomoya SAKAI, |
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| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | Variational principle provides a mathematical and computational background to the problems in computer vision and image analysis. The principle allows us to describe the problems as optimisation of energy functionals. Quadric forms of the first order derivatives and L_2 relaxation of total variation are promising strategies to derive stable and accurate solutions. In this paper, we deal with energy functionals with the higher order derivatives both for multi-variable sealer functions and vector valued functions. First, we introduce some expressions of the higher order derivatives both of multi-valuable functions and vector-valued functions as the basis of variational analysis of the energy functionals of the problems. Second, we derive convex energy functionals from the quadric forms of the higher order derivatives of functions. As an application of this expression of the energy functionals, we construct a symmetry energy function related to the vector spline problem. As the second application, the linear scale-space filtering operation to vector-valued functions is derived from a regularisation problem with higher-order derivative constraints. Furthermore, as an application to optical-flow computation, we construct the Nagel-Enkelmann type regulariser to the higher order derivatives. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Optical Flow / Variational Principle / The Higher Order Derivatives / Vector Spline |
| Paper # | PRMU2006-110 |
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| Committee | PRMU |
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| Conference Date | 2006/10/13(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
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| Registration To | Pattern Recognition and Media Understanding (PRMU) |
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| Language | ENG |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | The Higher Order Constraints for Optical-Flow Computation |
| Sub Title (in English) | |
| Keyword(1) | Optical Flow |
| Keyword(2) | Variational Principle |
| Keyword(3) | The Higher Order Derivatives |
| Keyword(4) | Vector Spline |
| 1st Author's Name | Atsushi IMIYA |
| 1st Author's Affiliation | School of Science and Technology, Chiba University() |
| 2nd Author's Name | Yusuke KAMEDA |
| 2nd Author's Affiliation | IMIT, Chiba University |
| 3rd Author's Name | Tomoya SAKAI |
| 3rd Author's Affiliation | School of Science and Technology, Chiba University |
| Date | 2006-10-20 |
| Paper # | PRMU2006-110 |
| Volume (vol) | vol.106 |
| Number (no) | 301 |
| Page | pp.pp.- |
| #Pages | 6 |
| Date of Issue | |