The Hausdorff Dimension and Scale-Space Normalisation of Natural Images

Authors:
Kim Steenstrup Pedersen;Mads Nielsen
Affiliations:
-;-
Venue:
SCALE-SPACE '99 Proceedings of the Second International Conference on Scale-Space Theories in Computer Vision
Year:
1999

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Abstract

Fractal Brownian motions have been introduced as a statistical description of natural images. We analyze the Gaussian scale-space scaling of derivatives of fractal images. On the basis of this analysis we propose a method for estimation of the fractal dimension of images and scale-space normalisation used in conjunction with automatic scale selection assuming either constant energy over scale or self similar energy scaling.