The quadric reference surface: applications in registering views of complex 3D objects

Amnon Shashua, Sebastian Toelg

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

2 Scopus citations

Abstract

The theoretical component of this work involves the following question: given any two views of some unknown textured opaque quadric surface in 3D, is there a finite number of corresponding points across the two views that uniquely determine all other correspondences coming from points on the quadric? A constructive answer to this question is then used to propose a transformation, we call a nominal quadratic transformation, that can be used in practice to facilitate the process of achieving full point-to-point correspondence between two grey-level images of the same (arbitrary) object.

Original languageAmerican English
Title of host publicationComputer Vision—ECCV 1994 - 3rd European Conference on Computer Vision, Proceedings
EditorsJan-Olof Eklundh
PublisherSpringer Verlag
Pages407-416
Number of pages10
ISBN (Print)9783540579571
DOIs
StatePublished - 1994
Externally publishedYes
Event3rd European Conference on Computer Vision, ECCV 1994 - Stockholm, Sweden
Duration: 2 May 19946 May 1994

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume801 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference3rd European Conference on Computer Vision, ECCV 1994
Country/TerritorySweden
CityStockholm
Period2/05/946/05/94

Bibliographical note

Funding Information:
Thanks to David Beymer for providingt he pair of imagesu sed for our ex-perimentsa, nd to Long Quan for providingt he code necessaryfo r recovering epipolesA. . Shashuais supportedb y a McDonnell-Pewp ostdoctorafel llowship from the Departmenotf Brain and CognitiveS ciencesS. . Toelg was supported by a postdoctorafle llowshipf rom the DeutscheF orschungsgemeinsehwahfitl e he was at MIT.

Funding Information:
Thanks to David Beymer for providing the pair of images used for our experiments, and to Long Quan for providing the code necessary for recovering epipoles. A. Shashua is supported by a McDonnell-Pew postdoctoral fellowship from the Department of Brain and Cognitive Sciences. S. Toelg was supported by a postdoctoral fellowship from the Deutsche Forschungsgemeinsehaft while he was at MIT.

Publisher Copyright:
© Springer-Verlag Berlin Heidelberg 1994.

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