On the reprojection of 3D and 2D scenes without explicit model selection

Amnon Shashua, Shai Avidan

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

2 Scopus citations


It is known that recovering projection matrices from planar configurations is ambiguous, thus, posing the problem of model selection - is the scene planar (2D) or non-planar (3D)? For a 2D scene one would recover a homography matrix, whereas for a 3D scene one would recover the fundamental matrix or trifocal tensor. The task of model selection is especially problematic when the scene is neither 2D nor 3D - for example a “thin” volume in space. In this paper we show that for certain tasks, such as reprojection, there is no need to select a model. The ambiguity that arises from a 2D scene is orthogonal to the reprojection process, thus if one desires to use multilinear matching constraints for transferring points along a sequence of views it is possible to do so under any situation of 2D, 3D or “thin” volumes.

Original languageAmerican English
Title of host publicationComputer Vision - ECCV 2000 - 6th European Conference on Computer Vision, Proceedings
EditorsDavid Vernon
PublisherSpringer Verlag
Number of pages14
ISBN (Print)3540676856
StatePublished - 2000
Event6th European Conference on Computer Vision, ECCV 2000 - Dublin, Ireland
Duration: 26 Jun 20001 Jul 2000

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


Conference6th European Conference on Computer Vision, ECCV 2000

Bibliographical note

Publisher Copyright:
© Springer-Verlag Berlin Heidelberg 2000.


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