Abstract
Given the projection of a sufficient number of points it is possible to algebraically eliminate the camera parameters and obtain viewinvariant functions of image coordinates and space coordinates. These single view invariants have been introduced in the past, however, they are not as well understood as their dual multi-view tensors. In this paper we revisit the dual tensors (bilinear, trilinear and quadlinear), both the general and the reference-plane reduced version, and describe the complete set of synthetic constraints, properties of the tensor slices, reprojection equations, non-linear constraints and reconstruction formulas. We then apply some of the new results, such as the dual reprojection equations, for multi-view point tracking under occlusions.
| Original language | English |
|---|---|
| Title of host publication | Computer Vision - 7th European Conference on Computer Vision, ECCV 2002, Proceedings |
| Editors | Anders Heyden, Gunnar Sparr, Mads Nielsen, Peter Johansen |
| Publisher | Springer Verlag |
| Pages | 399-414 |
| Number of pages | 16 |
| ISBN (Print) | 9783540437444 |
| DOIs | |
| State | Published - 2002 |
| Event | 7th European Conference on Computer Vision, ECCV 2002 - Copenhagen, Denmark Duration: 28 May 2002 → 31 May 2002 |
Publication series
| Name | Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) |
|---|---|
| Volume | 2351 |
| ISSN (Print) | 0302-9743 |
| ISSN (Electronic) | 1611-3349 |
Conference
| Conference | 7th European Conference on Computer Vision, ECCV 2002 |
|---|---|
| Country/Territory | Denmark |
| City | Copenhagen |
| Period | 28/05/02 → 31/05/02 |
Bibliographical note
Publisher Copyright:© Springer-Verlag Berlin Heidelberg 2002.