Multiple-view geometry and photometry

Amnon Shashua

doi:10.1007/3-540-60793-5_93

Multiple-view geometry and photometry

Amnon Shashua^*

^*Corresponding author for this work

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

Abstract

The issue of how to represent and manipulate the information arising from a multitude of perspective pictures of a 3D scene is a recent and growing topic of interest. In this paper we present a summary account of up-to-date research, my own and with colleagues, on this topic, including: the trilinear constraints and associated tensor; the properties of the trilinear tensor and their relevance to camera geometry and invariance; rank deficiencies and N >4 multiple-view geometry; and the photometric duality in the form of the “Tensor Brightness Constraint”.

Original language	English
Title of host publication	Recent Developments in Computer Vision - 2nd Asian Conference on Computer Vision, ACCV 1995, Invited Session Papers
Editors	Stan Z. Li, Dinesh P. Mital, Eam Khwang Teoh, Han Wan
Publisher	Springer Verlag
Pages	393-404
Number of pages	12
ISBN (Print)	9783540607939
DOIs	https://doi.org/10.1007/3-540-60793-5_93
State	Published - 1996
Externally published	Yes
Event	2nd Asian Conference on Computer Vision, ACCV 1995 - Singapore, Singapore Duration: 5 Dec 1995 → 8 Dec 1995

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	1035
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Conference

Conference	2nd Asian Conference on Computer Vision, ACCV 1995
Country/Territory	Singapore
City	Singapore
Period	5/12/95 → 8/12/95

Bibliographical note

Publisher Copyright:
© Springer-Verlag Berlin Heidelberg 1996.

Access to Document

10.1007/3-540-60793-5_93

Cite this

Shashua, A. (1996). Multiple-view geometry and photometry. In S. Z. Li, D. P. Mital, E. K. Teoh, & H. Wan (Eds.), Recent Developments in Computer Vision - 2nd Asian Conference on Computer Vision, ACCV 1995, Invited Session Papers (pp. 393-404). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 1035). Springer Verlag. https://doi.org/10.1007/3-540-60793-5_93

Shashua, Amnon. / Multiple-view geometry and photometry. Recent Developments in Computer Vision - 2nd Asian Conference on Computer Vision, ACCV 1995, Invited Session Papers. editor / Stan Z. Li ; Dinesh P. Mital ; Eam Khwang Teoh ; Han Wan. Springer Verlag, 1996. pp. 393-404 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

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title = "Multiple-view geometry and photometry",

abstract = "The issue of how to represent and manipulate the information arising from a multitude of perspective pictures of a 3D scene is a recent and growing topic of interest. In this paper we present a summary account of up-to-date research, my own and with colleagues, on this topic, including: the trilinear constraints and associated tensor; the properties of the trilinear tensor and their relevance to camera geometry and invariance; rank deficiencies and N >4 multiple-view geometry; and the photometric duality in the form of the “Tensor Brightness Constraint”.",

author = "Amnon Shashua",

note = "Publisher Copyright: {\textcopyright} Springer-Verlag Berlin Heidelberg 1996.; 2nd Asian Conference on Computer Vision, ACCV 1995 ; Conference date: 05-12-1995 Through 08-12-1995",

year = "1996",

doi = "10.1007/3-540-60793-5\_93",

language = "אנגלית",

isbn = "9783540607939",

series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",

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pages = "393--404",

editor = "Li, \{Stan Z.\} and Mital, \{Dinesh P.\} and Teoh, \{Eam Khwang\} and Han Wan",

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Shashua, A 1996, Multiple-view geometry and photometry. in SZ Li, DP Mital, EK Teoh & H Wan (eds), Recent Developments in Computer Vision - 2nd Asian Conference on Computer Vision, ACCV 1995, Invited Session Papers. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 1035, Springer Verlag, pp. 393-404, 2nd Asian Conference on Computer Vision, ACCV 1995, Singapore, Singapore, 5/12/95. https://doi.org/10.1007/3-540-60793-5_93

Multiple-view geometry and photometry. / Shashua, Amnon.
Recent Developments in Computer Vision - 2nd Asian Conference on Computer Vision, ACCV 1995, Invited Session Papers. ed. / Stan Z. Li; Dinesh P. Mital; Eam Khwang Teoh; Han Wan. Springer Verlag, 1996. p. 393-404 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 1035).

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

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AB - The issue of how to represent and manipulate the information arising from a multitude of perspective pictures of a 3D scene is a recent and growing topic of interest. In this paper we present a summary account of up-to-date research, my own and with colleagues, on this topic, including: the trilinear constraints and associated tensor; the properties of the trilinear tensor and their relevance to camera geometry and invariance; rank deficiencies and N >4 multiple-view geometry; and the photometric duality in the form of the “Tensor Brightness Constraint”.

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Shashua A. Multiple-view geometry and photometry. In Li SZ, Mital DP, Teoh EK, Wan H, editors, Recent Developments in Computer Vision - 2nd Asian Conference on Computer Vision, ACCV 1995, Invited Session Papers. Springer Verlag. 1996. p. 393-404. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). doi: 10.1007/3-540-60793-5_93

Multiple-view geometry and photometry

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Bibliographical note

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