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Multiscaling and information content of natural color images
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Naive scale invariance is not a true property of natural images. Natural monochrome images possess a much richer geometrical structure, which is particularly well described in terms of multiscaling relations. This means that the pixels of a given image can be decomposed into sets, the fractal components of the image, with well-defined scaling exponents [Turiel and Parga, Neural Comput. 12, 763 (2000)]. Here it is shown that hyperspectral representations of natural scenes also exhibit multiscaling properties, observing the same kind of behavior. A precise measure of the informational relevance of the fractal components is also given, and it is shown that there are important differences between the intrinsically redundant red-green-blue system and the decorrelated one defined in Ruderman, Cronin, and Chiao [J. Opt. Soc. Am. A 15, 2036 (1998)].
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TURIEL MARTÍNEZ, Antonio M., et al. Multiscaling and information content of natural color images. Physical Review e. 2000. Vol. 62, num. 1, pags. 1138-1148. ISSN 1063-651X. [consulted: 1 of June of 2026]. Available at: https://hdl.handle.net/2445/18779