| Presentation | 2012/1/12 Hyper-Renormalization KENICHI KANATANI, ALI AL-SHARADQAH, NIKOLAI CHERNOV, YASUYUKI SUGAYA, |
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| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | We reformulate iterative reweight and renormalization for geometric estimation in computer vision and propose "hyper-renormalization", further improving renormalization. We show the following: Iterative reweight starts from least squares, renormalization starts from the Taubin method, and hyper-renormalization starts from HyperLS. For all, the covariance matrix of the resulting solution achieves the theoretical limit except for high order noise terms. Iterative reweight yields large bias, and renormalization substantially reduces bias, while hyper-renormalization produces no bias achieves the theoretical limit except for high order noise terms and hence is more accurate than maximum likelihood, which is widely regarded as the best method. |
| Keyword(in Japanese) | (See Japanese page) |
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| Paper # | Vol.2012-CVIM-180 No.23 |
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| Committee | CQ |
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| Conference Date | 2012/1/12(1days) |
| Place (in Japanese) | (See Japanese page) |
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| Topics (in Japanese) | (See Japanese page) |
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| Registration To | Communication Quality (CQ) |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Hyper-Renormalization |
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| 1st Author's Name | KENICHI KANATANI |
| 1st Author's Affiliation | Department of Computer Science, Okayama University() |
| 2nd Author's Name | ALI AL-SHARADQAH |
| 2nd Author's Affiliation | Department of Mathematics, University of Mississippi |
| 3rd Author's Name | NIKOLAI CHERNOV |
| 3rd Author's Affiliation | Department of Mathematics, University of Alabama |
| 4th Author's Name | YASUYUKI SUGAYA |
| 4th Author's Affiliation | Department of Information and Computer Sciences, Toyohashi University of Technology |
| Date | 2012/1/12 |
| Paper # | Vol.2012-CVIM-180 No.23 |
| Volume (vol) | vol.111 |
| Number (no) | 378 |
| Page | pp.pp.- |
| #Pages | 8 |
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