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.
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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: Campilho, A., Kamel, M. (eds) Image Analysis and Recognition. ICIAR 2008. Lecture Notes in Computer Science, vol 5112. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-69812-8_19
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DOI: https://doi.org/10.1007/978-3-540-69812-8_19
Publisher Name: Springer, Berlin, Heidelberg
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