| Presentation | 1999/11/19 On the Three Dimensional Vector Autoregressive model Jun Fujiki, Masaru Tanaka, Yasuhiko Kiuchi, Taketoshi Mishima, |
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| PDF Download Page | PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | To recognize three dimensional (3D) objects, the invariance and covariance of extracted features from objects under certain transformation are quite important quantities. Because these features could resolve some pattern recognition problems of image understanding. To extract such features, we present the 3D vector autoregressive (VAR) model. This 3D VAR model is constructed on the quaternion, which is the basis of the rotation group in two dimensional complex space, and defined as the external products of 3D data and the autoregressive (AR) coefficients, unlike the conventional AR models. The 3D VAR coefficients defined as this way behave like vectors under any 3D and therefore these values are useful for the estimation of 3D rotation. In this paper, we also present the recursive computation of 3D VAR coefficients. This method reduce the cost of computation of of VAR coefficients. Furthermore, we simulate the estimation of 3D rotation by the 3D VAR coefficients to show that 3D VAR coefficients are one of the efficient data compression of 3D point data. we also define the partial correlation (PARCOR) vectors for the 3D VAR model from the point of view of data compression for pattern recognition. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | AR model / vector AR model / PARCOR coefficient |
| Paper # | PRMU99-147 |
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| Conference Information | |
| Committee | PRMU |
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| Conference Date | 1999/11/19(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
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| Paper Information | |
| 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) | On the Three Dimensional Vector Autoregressive model |
| Sub Title (in English) | |
| Keyword(1) | AR model |
| Keyword(2) | vector AR model |
| Keyword(3) | PARCOR coefficient |
| 1st Author's Name | Jun Fujiki |
| 1st Author's Affiliation | Electrotechnical Laboratory() |
| 2nd Author's Name | Masaru Tanaka |
| 2nd Author's Affiliation | Electrotechnical Laboratory |
| 3rd Author's Name | Yasuhiko Kiuchi |
| 3rd Author's Affiliation | Saitama University |
| 4th Author's Name | Taketoshi Mishima |
| 4th Author's Affiliation | Saitama University |
| Date | 1999/11/19 |
| Paper # | PRMU99-147 |
| Volume (vol) | vol.99 |
| Number (no) | 449 |
| Page | pp.pp.- |
| #Pages | 8 |
| Date of Issue | |