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Brendt Wohlberg and Gerhard de Jager, "A Class of Multiresolution Stochastic Models Generating Self-Affine Images", IEEE Transactions on Signal Processing, vol. 47, no. 6, doi:10.1109/78.765153, pp. 1739--1742, Jun 1999


Fractal image compression is based on the rather poorly motivated assumption that "natural" images exhibit significant affine self-similarity. The accuracy of this assumption is evaluated by a comparison between the statistics of natural images and those of a multiresolution stochastic model designed to generate images exhibiting affine self-similarity as assumed by fractal coding techniques. These comparisons suggest that self-affinity does not represent a particularly accurate characterisation of image statistics.

BibTeX Entry

author = {Brendt Wohlberg and Gerhard de Jager},
title = {A Class of Multiresolution Stochastic Models Generating Self-Affine Images},
year = {1999},
month = Jun,
urlpdf = {http://math.lanl.gov/~brendt/Publications/Docs/wohlberg-1999-multiresolution.pdf},
urlps = {http://math.lanl.gov/~brendt/Publications/Docs/wohlberg-1999-multiresolution.ps.gz},
journal = {IEEE Transactions on Signal Processing},
volume = {47},
number = {6},
doi = {10.1109/78.765153},
pages = {1739--1742}