Geometric Multiscale Representation of Numerical Images

Georges Koepfler and Lionel Moisan

Abstract :

We explain how a discrete grey level image can be numerically translated into a completely pixel independent geometric structure made of oriented curves with grey levels attached to them. For that purpose, we prove that the Affine Morphological Scale Space of an image can be geometrically computed using a level set decomposition/reconstruction and a well adapted curve evolution scheme. Such an algorithm appears to be much more accurate than classical pixel-based ones, and allows continuous deformations of the original image.