International Journal of Computer Vision vol:88 issue:3 pages:363-381
The aim of this paper is to highlight the relevance in computer vision of the pointwise Lipschitz regularity alpha. The regularity alpha gives a measure of the local regularity of the intensity function associated to an 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, using known wavelet methods
for extracting values of alpha from an image, we assess the robustness of the regularity alpha when the image undergoes various transformations. The results we obtain show the Lipschitz regularity alpha is a suitable feature for applications in computer vision.