| Presentation | 1993/9/22 Extension of the Standard Regularization Theory into Multi-valued Functions:Recovery of Multiple Surfaces Masahiko Shizawa, |
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| PDF Download Page | PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | An extension of the standard regularization theory is proposed for data approximations by multi-valued functions which are essential for such as the transparency problems in computational vision. In this paper,by using a direct representation for multi-fold surfaces based on tensor product,we show that the data approximation by a multi-valued function can be reduced to minimization of a single quadric functional.Therefore,since the Euler-Lagrange equation of the functional becomes linear,we can get benefit from simple relaxation techniques of guaranteed convergence to the optimal solution. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Standard regularization theory / Multi-valued functions / Transparency / Tensor product / Optimization / Surface recovery |
| Paper # | NC93-34 |
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| Conference Information | |
| Committee | NC |
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| Conference Date | 1993/9/22(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
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| Vice Chair | |
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| Paper Information | |
| Registration To | Neurocomputing (NC) |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Extension of the Standard Regularization Theory into Multi-valued Functions:Recovery of Multiple Surfaces |
| Sub Title (in English) | |
| Keyword(1) | Standard regularization theory |
| Keyword(2) | Multi-valued functions |
| Keyword(3) | Transparency |
| Keyword(4) | Tensor product |
| Keyword(5) | Optimization |
| Keyword(6) | Surface recovery |
| 1st Author's Name | Masahiko Shizawa |
| 1st Author's Affiliation | ATR Human Information Processing Research Laboratories() |
| Date | 1993/9/22 |
| Paper # | NC93-34 |
| Volume (vol) | vol.93 |
| Number (no) | 247 |
| Page | pp.pp.- |
| #Pages | 8 |
| Date of Issue | |