Constraint on Five Points in Two Images

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F03%3A03091328" target="_blank" >RIV/68407700:21230/03:03091328 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Constraint on Five Points in Two Images
Original language description
It is well-known that epipolar geometry relating two uncalibrated images is determined by at least seven correspondences. If there are more than seven of them, their positions cannot be arbitrary if they are to be projections of any world points by any two cameras. Less than seven matches have been thought not to be constrained in any way. We show that there is a constraint even on five matches, i.e., that there exist forbidden configurations of five points in two images. The constraint is obtained by requiring orientation consistence-points on the wrong side of rays are not allowed. For allowed configurations, we show that epipoles must lie in domains with piecewise-conic boundaries, and how to computery them. We present a concise algorithm deciding whether a configuration is allowed or forbidden.
Czech name
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Czech description
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Project
<a href="/en/project/GA102%2F01%2F0971" target="_blank" >GA102/01/0971: Omnidirectional Vision</a><br>
Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year
2003
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
CVPR 2003: Proceedings of the 2003 IEEE Computer Society Conference on Computer Vision and Pattern Recognition
ISBN
0-7695-1900-8
ISSN
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e-ISSN
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Number of pages
6
Pages from-to
203-208
Publisher name
IEEE Computer Society Press
Place of publication
Los Alamitos
Event location
Madison
Event date
Jun 16, 2003
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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