Understanding multifractality: reconstructing images from edges

Details Understanding multifractality: reconstructing images from edges Understanding multifractality: reconstructing images from edges

1998-11-26

arxiv.org/abs/cond-mat/9811372v1

Physics

Condensed Matter

Statistical Mechanics

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

Scientific paper

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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