• DocumentCode
    3083079
  • Title

    The tensors of three affine views

  • Author

    Thorballsson, T. ; Murray, David W.

  • Author_Institution
    Dept. of Eng. Sci., Oxford Univ., UK
  • Volume
    1
  • fYear
    1999
  • fDate
    1999
  • Abstract
    In this paper we specialize the projective unifocal, bifocal, and trifocal tensors to the affine case, and show how the tensors obtained relate to the registered tensors encountered in previous work. This enables us to obtain an affine specialization of known projective relations connecting points and lines across two or three views. In the simpler case of affine cameras we give neccessary and sufficient constraints on the components of the trifocal tensor together with a simple geometric interpretation. Finally, we show how the estimation of the tensors from point correspondences is achieved through factorization, and discuss the estimation from line correspondences
  • Keywords
    image processing; tensors; affine specialization; affine views; line correspondences; point correspondences; registered tensors; tensors; Cameras; Geometry; Joining processes; Layout; Linear approximation; Tensile stress;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Computer Vision and Pattern Recognition, 1999. IEEE Computer Society Conference on.
  • Conference_Location
    Fort Collins, CO
  • ISSN
    1063-6919
  • Print_ISBN
    0-7695-0149-4
  • Type

    conf

  • DOI
    10.1109/CVPR.1999.786977
  • Filename
    786977