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Article

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2000

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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/13214

Multifractal wavelet filter of natural images

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http://dx.doi.org/10.1103/PhysRevLett.85.3325

Abstract

Natural images are characterized by the multiscaling properties of their contrast gradient, in addition to their power spectrum. In this Letter we show that those properties uniquely define an intrinsic wavelet and present a suitable technique to obtain it from an ensemble of images. Once this wavelet is known, images can be represented as expansions in the associated wavelet basis. The resulting code has the remarkable properties that it separates independent features at different resolution level, reducing the redundancy, and remains essentially unchanged under changes in the power spectrum. The possible generalization of this representation to other systems is discussed.

Subject

Física mèdica, Òptica, Dinàmica de fluids

Subject (English)

Biological and medical physics, Optics, Fluid dynamics

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Articles publicats en revistes (Física de la Matèria Condensada)

Citation

TURIEL MARTÍNEZ, Antonio M. and PARGA, Néstor. Multifractal wavelet filter of natural images. Physical Review Letters. 2000. Vol. 85, num. 15, pags. 3325-3328. ISSN 0031-9007. [consulted: 9 of August of 2026]. Available at: https://hdl.handle.net/2445/13214

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