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

Amnon Shashua; Sebastian Toelg

doi:10.1007/bfb0028372

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

Amnon Shashua
, Sebastian Toelg

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-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 language	English
Title of host publication	Computer Vision—ECCV 1994 - 3rd European Conference on Computer Vision, Proceedings
Editors	Jan-Olof Eklundh
Publisher	Springer Verlag
Pages	407-416
Number of pages	10
ISBN (Print)	9783540579571
DOIs	https://doi.org/10.1007/bfb0028372
State	Published - 1994
Externally published	Yes
Event	3rd European Conference on Computer Vision, ECCV 1994 - Stockholm, Sweden Duration: 2 May 1994 → 6 May 1994

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	801 LNCS
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Conference

Conference	3rd European Conference on Computer Vision, ECCV 1994
Country/Territory	Sweden
City	Stockholm
Period	2/05/94 → 6/05/94

Bibliographical note

Publisher Copyright:
© Springer-Verlag Berlin Heidelberg 1994.

Access to Document

10.1007/bfb0028372

Cite this

Shashua, A., & Toelg, S. (1994). The quadric reference surface: applications in registering views of complex 3D objects. In J.-O. Eklundh (Ed.), Computer Vision—ECCV 1994 - 3rd European Conference on Computer Vision, Proceedings (pp. 407-416). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 801 LNCS). Springer Verlag. https://doi.org/10.1007/bfb0028372

Shashua, Amnon ; Toelg, Sebastian. / The quadric reference surface : applications in registering views of complex 3D objects. Computer Vision—ECCV 1994 - 3rd European Conference on Computer Vision, Proceedings. editor / Jan-Olof Eklundh. Springer Verlag, 1994. pp. 407-416 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

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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.",

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Shashua, A & Toelg, S 1994, The quadric reference surface: applications in registering views of complex 3D objects. in J-O Eklundh (ed.), Computer Vision—ECCV 1994 - 3rd European Conference on Computer Vision, Proceedings. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 801 LNCS, Springer Verlag, pp. 407-416, 3rd European Conference on Computer Vision, ECCV 1994, Stockholm, Sweden, 2/05/94. https://doi.org/10.1007/bfb0028372

The quadric reference surface: applications in registering views of complex 3D objects. / Shashua, Amnon; Toelg, Sebastian.
Computer Vision—ECCV 1994 - 3rd European Conference on Computer Vision, Proceedings. ed. / Jan-Olof Eklundh. Springer Verlag, 1994. p. 407-416 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 801 LNCS).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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Shashua A, Toelg S. The quadric reference surface: applications in registering views of complex 3D objects. In Eklundh JO, editor, Computer Vision—ECCV 1994 - 3rd European Conference on Computer Vision, Proceedings. Springer Verlag. 1994. p. 407-416. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). doi: 10.1007/bfb0028372

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

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