2024-03-28T11:02:19Zhttp://digital.csic.es/dspace-oai/requestoai:digital.csic.es:10261/2189852020-09-02T09:15:03Zcom_10261_123com_10261_8col_10261_376
2020-09-02T09:14:34Z
urn:hdl:10261/218985
The Multifractal Structure of Contrast Changes in Natural Images: From Sharp Edges to Textures
Turiel, Antonio
Parga, Néstor
31 pages, 8 figures, 1 table
We 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
2020-09-02T09:14:34Z
2020-09-02T09:14:34Z
2000-04
artículo
Neural Computation 12(4): 763-793 (2000)
0899-7667
http://hdl.handle.net/10261/218985
10.1162/089976600300015583
1530-888X
eng
https://doi.org/10.1162/089976600300015583
Sí
closedAccess
Massachusetts Institute of Technology