• DocumentCode
    1472951
  • Title

    Algebraic and geometric tools to compute projective and permutation invariants

  • Author

    Csurka, Gabriella ; Faugeras, Olivier

  • Author_Institution
    Geneva Univ., Switzerland
  • Volume
    21
  • Issue
    1
  • fYear
    1999
  • fDate
    1/1/1999 12:00:00 AM
  • Firstpage
    58
  • Lastpage
    64
  • Abstract
    Studies the computation of projective invariants in pairs of images from uncalibrated cameras and presents a detailed study of the projective and permutation invariants for configurations of points and/or lines. Two basic computational approaches are given, one algebraic and one geometric. In each case, invariants are computed in projective space or directly from image measurements. Finally, we develop combinations of those projective invariants which are insensitive to permutations of the geometric primitives of each of the basic configurations
  • Keywords
    algebra; geometry; stereo image processing; algebraic tools; geometric primitives; geometric tools; image measurements; permutation invariants; projective invariants; uncalibrated cameras; Algebra; Calibration; Cameras; Computational geometry; Extraterrestrial measurements; Image reconstruction; Object detection; Robot vision systems; Stereo image processing; Stereo vision;
  • fLanguage
    English
  • Journal_Title
    Pattern Analysis and Machine Intelligence, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0162-8828
  • Type

    jour

  • DOI
    10.1109/34.745735
  • Filename
    745735