| Presentation | 2008-11-27 Optimal Triangulation from Multiple Views by Orthogonal Projection Naoki Yano, Yasuyuki Sugaya, Hirotaka Niitsuma, Kenichi Kanatani, |
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| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | A a new method is presented for optimally computing the 3-D position of corresponding points in an arbitrary number of views. While existing methods search the 3-D space for a point that minimizes the reprojection error, we regard the corresponding points over M images as a point in a 2M-D joint space and orthogonally project it onto the 3-D manifold defined by the constraint that their lines of sight meet. This is an extension of our 3-view method, and as the constraint we combine M-2 trilinear equations. We point out that the simultaneous equations to be solved are ill-conditioned and present, based on algebraic and geometric considerations, a method using a generalized inverse of rank 2M-3. Using synthetic and real data, we evaluate the accuracy and computation time and conclude that our method is far more efficient than any of existing methods. |
| Keyword(in Japanese) | (See Japanese page) |
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| Paper # | PRMU2008-116,MVE2008-65 |
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| Committee | MVE |
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| Conference Date | 2008/11/20(1days) |
| Place (in Japanese) | (See Japanese page) |
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| Topics (in Japanese) | (See Japanese page) |
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| Registration To | Media Experience and Virtual Environment (MVE) |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Optimal Triangulation from Multiple Views by Orthogonal Projection |
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| 1st Author's Name | Naoki Yano |
| 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 |
| 3rd Author's Name | Hirotaka Niitsuma |
| 3rd Author's Affiliation | Department of Computer Science, Okayama University |
| 4th Author's Name | Kenichi Kanatani |
| 4th Author's Affiliation | Department of Computer Science, Okayama University |
| Date | 2008-11-27 |
| Paper # | PRMU2008-116,MVE2008-65 |
| Volume (vol) | vol.108 |
| Number (no) | 328 |
| Page | pp.pp.- |
| #Pages | 8 |
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