Abstract
The multiple view geometry of static scenes is now well understood. Recently attention was turned to dynamic scenes where scene points may move while the cameras move. The triangulation of linear trajectories is now well handled. The case of quadratic trajectories also received some attention. We present a complete generalization and address the Problem of general trajectory triangulation of moving points from non-synchronized cameras. Our method is based on a particular representation of curves (trajectories) where a curve is represented by a family of hypersurfaces in the projective space P5. This representation is linear, even for highly non-linear trajectories. We show how this representation allows the recovery of the trajectory of a movingp oint from non-synchronized sequences. We show how this representation can be converted into a more standard representation. We also show how one can extract directly from this representation the positions of the movingp oint at each time instant an image was made. Experiments on synthetic data and on real images demonstrate the feasibility of our approach.
Original language | English |
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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 | 823-836 |
Number of pages | 14 |
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) |
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Volume | 2351 |
ISSN (Print) | 0302-9743 |
ISSN (Electronic) | 1611-3349 |
Conference
Conference | 7th European Conference on Computer Vision, ECCV 2002 |
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Country/Territory | Denmark |
City | Copenhagen |
Period | 28/05/02 → 31/05/02 |
Bibliographical note
Publisher Copyright:© Springer-Verlag Berlin Heidelberg 2002.
Keywords
- Structure from motion