• DocumentCode
    3336832
  • Title

    On the Hough transform of a curve: a constructive definition and some applications

  • Author

    Corazza, Anna ; Mian, Gian Antonio

  • Author_Institution
    IRST, Trento, Italy
  • fYear
    1991
  • fDate
    19-22 June 1991
  • Firstpage
    1752
  • Abstract
    A constructive definition of the one-to-many Hough transform of a curve is given in the case of a continuous support image. It is based on the direct product of two delta functions applied to the set of characteristic points of the image and to the family of curves to be detected. General properties are derived and application is made to the case of straight line and circle. Explicit analytical expressions both of the ideal component and the background vote surface are presented for a rectangular retina. Examples are given to show the accuracy of the predicted performance.<>
  • Keywords
    Hough transforms; image processing; background vote surface; characteristic points; curve; delta functions; image processing; one-to-many Hough transform; rectangular retina; Accuracy; Contracts; Discrete transforms; Equations; Image processing; Predictive models; Retina; Robots; Shape; Voting;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Advanced Robotics, 1991. 'Robots in Unstructured Environments', 91 ICAR., Fifth International Conference on
  • Conference_Location
    Pisa, Italy
  • Print_ISBN
    0-7803-0078-5
  • Type

    conf

  • DOI
    10.1109/ICAR.1991.240349
  • Filename
    240349