Convolutions on digital surfaces: on the way iterated convolutions behave and preliminary results about curvature estimation

Sébastien Fourey (1) , Rémy Malgouyres (2)

1 Equipe Image - Laboratoire GREYC - UMR6072
2 LLAIC1 - Laboratoire de Logique, Algorithmique et Informatique

In [FoureyMalgouyres09] the authors present a generalized convolution operator for functions defined on digital surfaces. We provide here some extra material related to this notion. Some about the relative isotropy of the way a convolution kernel (or mask) grows when the convolution operator is iterated. We also provide preliminary results about a way to estimate curvatures on a digital surface, using the same convolution operator.

Mots clés: digital surfaces; normal estimation; convolution; curvature

Domaines: Vision par ordinateur et reconnaissance de formes [cs.CV]

Sébastien Fourey, Rémy Malgouyres. Convolutions on digital surfaces: on the way iterated convolutions behave and preliminary results about curvature estimation. 2008. ⟨hal-00338662v2⟩