• DocumentCode
    3487969
  • Title

    Estimating homographies without normalization

  • Author

    Rangarajan, Prasanna ; Papamichalis, Panos

  • Author_Institution
    Southern Methodist Univ., Dallas, TX, USA
  • fYear
    2009
  • fDate
    7-10 Nov. 2009
  • Firstpage
    3517
  • Lastpage
    3520
  • Abstract
    Existing linear methods for estimating homographies, rely on coordinate normalization, to reduce the error in the estimated homography. Unfortunately, the estimated homography depends on the choice of the normalization. The proposed extension to the (linear) Taubin estimator is the perfect substitute for such methods, as it does not rely on coordinate normalization, and produces homographies whose error is consistent with existing methods. Also, unlike existing linear methods, the proposed Taubin estimator is theoretically unbiased, and unaffected by similarity transformations of the correspondences in the two views. In addition, it can be adapted to estimate other quantities such as trifocal tensors.
  • Keywords
    estimation theory; geometry; Taubin estimator; homography estimation; linear method; similarity transformations; trifocal tensors; Eigenvalues and eigenfunctions; Equations; Estimation theory; Iterative algorithms; Least squares approximation; Least squares methods; Multilevel systems; Tensile stress; Transforms; Vectors; Homography; Taubin estimator;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Image Processing (ICIP), 2009 16th IEEE International Conference on
  • Conference_Location
    Cairo
  • ISSN
    1522-4880
  • Print_ISBN
    978-1-4244-5653-6
  • Electronic_ISBN
    1522-4880
  • Type

    conf

  • DOI
    10.1109/ICIP.2009.5414071
  • Filename
    5414071