A simple, general model for the affine self-similarity of images

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Abstract

A series of extensive numerical experiments indicates that images, in general, possess a considerable degree of affine self-similarity, that is, blocks are well approximated by a number of other blocks - at the same or different scales - when affine greyscale transformations are employed. We introduce a simple model of affine image self-similarity which includes the method of fractal image coding (cross-scale, affine greyscale similarity) and the nonlocal means denoising method (same-scale, translational similarity) as special cases. © 2008 Springer-Verlag Berlin Heidelberg.

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Alexander, S. K., Vrscay, E. R., & Tsurumi, S. (2008). A simple, general model for the affine self-similarity of images. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 5112 LNCS, pp. 192–203). https://doi.org/10.1007/978-3-540-69812-8_19

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