| Presentation | 1999/10/21 Gauges and Gauge Transformations of 3-D Reconstruction from Motion Images Kenichi Kanatani, Daniel D. Morris, |
|---|---|
| PDF Download Page | PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | This paper presents a full and consistent theory for describing indeterminacy and uncertainty of 3-D reconstruction from a sequence of images. First, we give a formal description of the 3-D reconstruction problem and present a group-theoretical analysis of "gauge transformations" and "gauges" by invoking the Lie group theory. We then discuss how to evaluate the reliability of the solution that has indeterminacy. We derive the gauge transformation rule of covariance matrices and characterize "gauge invariants". We also extend the Cramer-Rao lower bound to problems with internal indeterminacy. Finally, we describe the "free-gauge approach" and the "canonical form" of a covariance matrix that is independent of particular gauges. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | 3-D reconstruction / Lie group theory / gauge transformation / canonical form / reliability evaluation / Cramer-Rao lower bound |
| Paper # | PRMU99-93 |
| Date of Issue |
| Conference Information | |
| Committee | PRMU |
|---|---|
| Conference Date | 1999/10/21(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) | Gauges and Gauge Transformations of 3-D Reconstruction from Motion Images |
| Sub Title (in English) | |
| Keyword(1) | 3-D reconstruction |
| Keyword(2) | Lie group theory |
| Keyword(3) | gauge transformation |
| Keyword(4) | canonical form |
| Keyword(5) | reliability evaluation |
| Keyword(6) | Cramer-Rao lower bound |
| 1st Author's Name | Kenichi Kanatani |
| 1st Author's Affiliation | Department of Computer Science Gunma University() |
| 2nd Author's Name | Daniel D. Morris |
| 2nd Author's Affiliation | Robotics Institute Carnegie Mellon University |
| Date | 1999/10/21 |
| Paper # | PRMU99-93 |
| Volume (vol) | vol.99 |
| Number (no) | 380 |
| Page | pp.pp.- |
| #Pages | 8 |
| Date of Issue | |