The Hausdorff dimension and scale-space normalization of natural images

Authors
Pedersen, KS Nielsen, M
Citation
Ks. Pedersen et M. Nielsen, The Hausdorff dimension and scale-space normalization of natural images, J VIS C IM, 11(2), 2000, pp. 266-277
Citations number
22
Categorie Soggetti
Computer Science & Engineering
Journal title
JOURNAL OF VISUAL COMMUNICATION AND IMAGE REPRESENTATION
ISSN journal
10473203 → ACNP
Volume
11
Issue
2
Year of publication
2000
Pages
266 - 277
Database
ISI
SICI code
1047-3203(200006)11:2<266:THDASN>2.0.ZU;2-C
Abstract
Fractal Brownian motions have been introduced as a statistical descriptor o f natural images. We analyze the Gaussian scale-space scaling of derivative s of fractal images, On the basis of this analysis we propose a method for estimation of the fractal dimension of images and scale-space normalization used in conjunction with automatic scale selection assuming either constan t energy over scale or self-similar energy scaling. (C) 2000 Academic Press .