Presentation | 1993/9/22 Extension of the Standard Regularization Theory into Multi-valued Functions:Recovery of Multiple Surfaces Masahiko Shizawa, |
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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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Committee | NC |
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Conference Date | 1993/9/22(1days) |
Place (in Japanese) | (See Japanese page) |
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Topics (in Japanese) | (See Japanese page) |
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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 |