Rotation invariance in edge detection

  • Djemel Ziou
  • Jean -Pierre Fabre
Edges and Contours
Part of the Lecture Notes in Computer Science book series (LNCS, volume 719)


In this paper, we address the problem of rotation invariance in edge detection. The sensitivity of first order edge detectors in edge orientation is examined. It is shown that the rotation invariance property of an edge detector has no precise consequences on its performance. There are rotationally symmetric (resp. rotationally dependent) detectors the performances of which are edge orientation sensitive (resp. orientation free) and vice-versa. Furthermore, we present the performance evaluation of the Canny and Deriche detectors.


Edge Detector Rotation Invariance Canny Edge Detector Edge Operator Edge Orientation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    M. Brady and B.K.P. Horn. Rotationally Symmetric Operators for Surface Interpolation. CVGIP, 22:70–94, 1983.Google Scholar
  2. 2.
    J.F. Canny. Finding Edges and Lines in Images. Technical report no. 720, MIT, 1983.Google Scholar
  3. 3.
    R. Courant and D. Hilbert. Methods of Mathematical Physics. Vol.1, Interscience Publishers, INC, New York, 1953.Google Scholar
  4. 4.
    P.E. Danielsson and O. Seger. Rotation Invariance in Gradient and Higher Order Derivative Detectors. CVGIP, 49:198–221, 1990.Google Scholar
  5. 5.
    R. Deriche. Using Canny's Criteria to Derive a Recursive Implemented Optimal Edge Detector. The Int. Jour. of Computer Vision, 1(2):167–187, 1987.Google Scholar
  6. 6.
    V. Lacroix. Edge Detection: What About Rotation Invariance? Pattern Recognition Letters, 11:797–802, 1990.Google Scholar
  7. 7.
    V. Torre and T.A. Poggio. On Edge Detection. IEEE, Trans. on PAMI, 8(2):147–163, 1986.Google Scholar
  8. 8.
    D. Ziou and R. Mohr. An experience on Automatic Selection of Edge Detectors. In 11th IAPR-ICPR, pages 586–589, The Hague, Netherlands, 1992.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1993

Authors and Affiliations

  • Djemel Ziou
    • 1
  • Jean -Pierre Fabre
    • 1
  1. 1.EERIE-LERINimesFrance

Personalised recommendations