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Statements

Subject Item
n2:RIV%2F68407700%3A21230%2F03%3A03091328%21RIV%2F2004%2FGA0%2F212304%2FN
rdf:type
n7:Vysledek skos:Concept
dcterms: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. 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.
dcterms:title
Constraint on Five Points in Two Images Constraint on Five Points in Two Images
skos:prefLabel
Constraint on Five Points in Two Images Constraint on Five Points in Two Images
skos:notation
RIV/68407700:21230/03:03091328!RIV/2004/GA0/212304/N
n3:strany
203 ; 208
n3:aktivita
n10:Z n10:P
n3:aktivity
P(GA102/01/0971), Z(MSM 212300013)
n3:dodaniDat
n11:2004
n3:domaciTvurceVysledku
n9:3572471
n3:druhVysledku
n15:D
n3:duvernostUdaju
n4:S
n3:entitaPredkladatele
n14:predkladatel
n3:idSjednocenehoVysledku
602050
n3:idVysledku
RIV/68407700:21230/03:03091328
n3:jazykVysledku
n20:eng
n3:klicovaSlova
3D computer vision;cheirality;chirality;epipolar geometry;fundamental matrix;multiview geometry;oriented projective geometry
n3:klicoveSlovo
n6:chirality n6:3D%20computer%20vision n6:oriented%20projective%20geometry n6:multiview%20geometry n6:epipolar%20geometry n6:fundamental%20matrix n6:cheirality
n3:kontrolniKodProRIV
[4165E5F40E28]
n3:mistoKonaniAkce
Madison
n3:mistoVydani
Los Alamitos
n3:nazevZdroje
CVPR 2003: Proceedings of the 2003 IEEE Computer Society Conference on Computer Vision and Pattern Recognition
n3:obor
n17:JD
n3:pocetDomacichTvurcuVysledku
1
n3:pocetTvurcuVysledku
1
n3:projekt
n22:GA102%2F01%2F0971
n3:rokUplatneniVysledku
n11:2003
n3:tvurceVysledku
Werner, Tomáš
n3:typAkce
n19:WRD
n3:zahajeniAkce
2003-06-16+02:00
n3:zamer
n13:MSM%20212300013
s:numberOfPages
6
n18:hasPublisher
IEEE Computer Society Press
n21:isbn
0-7695-1900-8
n12:organizacniJednotka
21230