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The Multifractal Structure of Contrast Changes in Natural Images: From Sharp Edges to Textures

AuthorsTuriel, Antonio ; Parga, Néstor
Issue DateApr-2000
PublisherMassachusetts Institute of Technology
CitationNeural Computation 12(4): 763-793 (2000)
AbstractWe present a formalism that leads naturally to a hierarchical description of the different contrast structures in images, providing precise definitions of sharp edges and other texture components. Within this formalism, we achieve a decomposition of pixels of the image in sets, the fractal components of the image, such that each set contains only points characterized by a fixed strength of the singularity of the contrast gradient in its neighborhood. A crucial role in this description of images is played by the behavior of contrast differences under changes in scale. Contrary to naive scaling ideas where the image is thought to have uniform transformation properties (Field, 1987), each of these fractal components has its own transformation law and scaling exponents. A conjecture on their biological relevance is also given
Description31 pages, 8 figures, 1 table
Publisher version (URL)https://doi.org/10.1162/089976600300015583
Appears in Collections:(ICM) Artículos
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