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  • 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. (en)
Title
  • Constraint on Five Points in Two Images
  • Constraint on Five Points in Two Images (en)
skos:prefLabel
  • Constraint on Five Points in Two Images
  • Constraint on Five Points in Two Images (en)
skos:notation
  • RIV/68407700:21230/03:03091328!RIV/2004/GA0/212304/N
http://linked.open.../vavai/riv/strany
  • 203 ; 208
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA102/01/0971), Z(MSM 212300013)
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 602050
http://linked.open...ai/riv/idVysledku
  • RIV/68407700:21230/03:03091328
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • 3D computer vision;cheirality;chirality;epipolar geometry;fundamental matrix;multiview geometry;oriented projective geometry (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [4165E5F40E28]
http://linked.open...v/mistoKonaniAkce
  • Madison
http://linked.open...i/riv/mistoVydani
  • Los Alamitos
http://linked.open...i/riv/nazevZdroje
  • CVPR 2003: Proceedings of the 2003 IEEE Computer Society Conference on Computer Vision and Pattern Recognition
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...iv/tvurceVysledku
  • Werner, Tomáš
http://linked.open...vavai/riv/typAkce
http://linked.open.../riv/zahajeniAkce
http://linked.open...n/vavai/riv/zamer
number of pages
http://purl.org/ne...btex#hasPublisher
  • IEEE Computer Society Press
https://schema.org/isbn
  • 0-7695-1900-8
http://localhost/t...ganizacniJednotka
  • 21230
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