Revisiting single-view shape tensors: Theory and applications

Anat Levin, Amnon Shashua

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


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 languageAmerican English
Title of host publicationComputer Vision - 7th European Conference on Computer Vision, ECCV 2002, Proceedings
EditorsAnders Heyden, Gunnar Sparr, Mads Nielsen, Peter Johansen
PublisherSpringer Verlag
Number of pages16
ISBN (Print)9783540437444
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)
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349


Conference7th European Conference on Computer Vision, ECCV 2002

Bibliographical note

Publisher Copyright:
© Springer-Verlag Berlin Heidelberg 2002.


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