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Understanding multifractality: reconstructing images from edges

1998/11/26 by Antonio Turiel, Turiel, Antonio, Angela del Pozo +1
Physics and Astronomy · #Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Physical sciences #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.dis-nn #cond-mat.stat-mech

paper · pdf · doi:10.48550/arxiv.cond-mat/9811372

Latex, 13 pages, 6 figures formed by 15 PostScript files. Higher quality pictures may be requested from authors

arxiv created 1998/11/26 · arxiv updated 2009/11/30

Abstract

It has been recently proven that natural images exhibit scaling properties analogue to those of turbulent flows. These properties allow regarding each image as a multifractal object, for which its most singular manifold conveys the most of the non-redundant structure. In the present work, we go further in this analysis, proposing a simple propagator that reconstructs the whole image from this set. This fact could have deep implications for biology, technology and statistical mechanics.

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