Highlight on a feature extracted at fine scales: the pointwise Lipschitz regularity

Christophe Damerval (1) , Sylvain Meignen (2)

1 CS - Department of Computer Science [Leuven]
2 MGMI - Modélisation Géométrique & Multirésolution pour l'Image

The aim of this paper is to study the robustness of the pointwise Lipschitz regularity in 2D, which is a measure of the local regularity of the intensity function associated to an image. This regularity can be efficiently computed by an approach based on fine scales. We assess its robustness when the image undergoes various transformations, especially geometric ones. The results we obtain show that the pointwise Lipschitz regularity is a suitable feature for applications in computer vision.

Mots clés: Lipschitz regularity; invariance properties; wavelet decompositions; multiscale edge detection; extraction of characteristic values; robustness to transformations applied to the image

Domaines: Analyse numérique [math.NA]

Christophe Damerval, Sylvain Meignen. Highlight on a feature extracted at fine scales: the pointwise Lipschitz regularity. SSVM 2009 - 2nd International Conference on Scale Space and Variational Methods, Jun 2009, Voss, Norway. pp.782-794, ⟨10.1007/978-3-642-02256-2_65⟩. ⟨hal-00872504⟩