| Presentation | 2008-09-05 Optimal Triangulation from Three Views Yasuyuki Sugaya, Hirotaka Niitsuma, Kenichi Kanatani, |
|---|---|
| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | This paper presents a new method for optimally computing the 3-D position of corresponding points in three views. Our method is an extension of the optimal correction approach of our two-view method to three views. The eipolar constraint in terms of the fundamental matrix between two views corresponds to the trilinear constraint in terms of the trifocal tensor among three views. It is pointed out that the simultaneous linear equations for determining the correction is ill-conditioned. Based on algebraic and geometric considerations, we present a technique for computing an exact solution using a generalized inverse of rank 3. The proposed method is far simpler than any existing methods and is suitable for practical applications. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | |
| Paper # | PRMU2008-48,HIP2008-48 |
| Date of Issue |
| Conference Information | |
| Committee | PRMU |
|---|---|
| Conference Date | 2008/8/29(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| Chair | |
| Vice Chair | |
| Secretary | |
| Assistant | |
| Paper Information | |
| Registration To | Pattern Recognition and Media Understanding (PRMU) |
|---|---|
| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Optimal Triangulation from Three Views |
| Sub Title (in English) | |
| Keyword(1) | |
| 1st Author's Name | Yasuyuki Sugaya |
| 1st Author's Affiliation | Department of Information and Computer Sciences, Toyohashi University of Technology() |
| 2nd Author's Name | Hirotaka Niitsuma |
| 2nd Author's Affiliation | Department of Computer Science, Okayama University |
| 3rd Author's Name | Kenichi Kanatani |
| 3rd Author's Affiliation | Department of Computer Science, Okayama University |
| Date | 2008-09-05 |
| Paper # | PRMU2008-48,HIP2008-48 |
| Volume (vol) | vol.108 |
| Number (no) | 198 |
| Page | pp.pp.- |
| #Pages | 8 |
| Date of Issue | |