General trajectory triangulation

Jeremy Yirmeyahu Kaminski, Mina Teicher

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

4 Scopus citations

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 languageEnglish
Title of host publicationComputer Vision - 7th European Conference on Computer Vision, ECCV 2002, Proceedings
EditorsAnders Heyden, Gunnar Sparr, Mads Nielsen, Peter Johansen
PublisherSpringer Verlag
Pages823-836
Number of pages14
ISBN (Print)9783540437444
DOIs
StatePublished - 2002
Event7th European Conference on Computer Vision, ECCV 2002 - Copenhagen, Denmark
Duration: 28 May 200231 May 2002

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume2351
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference7th European Conference on Computer Vision, ECCV 2002
Country/TerritoryDenmark
CityCopenhagen
Period28/05/0231/05/02

Bibliographical note

Publisher Copyright:
© Springer-Verlag Berlin Heidelberg 2002.

Keywords

  • Structure from motion

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