Study of a Robust Feature: The Pointwise Lipschitz Regularity

  • Authors:
  • C. Damerval;S. Meignen

  • Affiliations:
  • Dept. of Computer Science, K.U. Leuven, Heverlee, Belgium 3001;Laboratory Jean Kuntzmann, University of Grenoble, Saint Martin d'Hères, France 38400

  • Venue:
  • International Journal of Computer Vision
  • Year:
  • 2010

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Abstract

The aim of this paper is to highlight the relevance in computer vision of the pointwise Lipschitz regularity 驴驴驴. The regularity 驴 gives a measure of the local regularity of the intensity function associated to an image. Known wavelet methods provide an efficient computation of 驴 at contour points of the image. From a theoretical point of view, we study the effect of geometric deformations and other specific transformations applied to the image, showing invariance properties. From a practical point of view, we assess the robustness of the regularity 驴 when the image undergoes various transformations. The results we obtain show the Lipschitz regularity 驴 is a suitable feature for applications in computer vision.