Geometric Multiscale Representation of Numerical Images

Authors:
Georges Koepfler;Lionel Moisan
Affiliations:
-;-
Venue:
SCALE-SPACE '99 Proceedings of the Second International Conference on Scale-Space Theories in Computer Vision
Year:
1999

Citing 5
Cited 2

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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.