Presentation | 2008-09-05 Unified Computation of Strict Maximum Likelihood for Geometric Fitting Kenichi Kanatani, Yasuyuki Sugaya, |
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Abstract(in Japanese) | (See Japanese page) |
Abstract(in English) | A new numerical scheme is presented for strictly computing maximum likelihood (ML) of geometric fitting problems. While conventional methods first transform the data into a computationally convenient form and then assume Gaussian noise in the transformed space, our method assumes Gaussian noise in the original data space. It is shown that the strict ML solution can be computed by iteratively using conventional methods. Then, our method is applied to ellipse fitting and fundamental matrix computation. Our method also encompasses optimal correction, computing, e.g., perpendiculars to an ellipse and triangulating stereo images. In the past, such applications have been studied individually. Our method generalizes them from a unified point of view. |
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Paper # | PRMU2008-50,HIP2008-50 |
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Committee | PRMU |
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Conference Date | 2008/8/29(1days) |
Place (in Japanese) | (See Japanese page) |
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Registration To | Pattern Recognition and Media Understanding (PRMU) |
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Language | JPN |
Title (in Japanese) | (See Japanese page) |
Sub Title (in Japanese) | (See Japanese page) |
Title (in English) | Unified Computation of Strict Maximum Likelihood for Geometric Fitting |
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1st Author's Name | Kenichi Kanatani |
1st Author's Affiliation | Department of Computer Science, Okayama University() |
2nd Author's Name | Yasuyuki Sugaya |
2nd Author's Affiliation | Department of Information and Computer Sciences, Toyohashi University of Technology |
Date | 2008-09-05 |
Paper # | PRMU2008-50,HIP2008-50 |
Volume (vol) | vol.108 |
Number (no) | 198 |
Page | pp.pp.- |
#Pages | 8 |
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