A strong optimality result for anisotropic self--similar textures

M. Clausel; B. Vedel

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arXiv · 1302.0819

A strong optimality result for anisotropic self--similar textures

M. Clausel·B. Vedel

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Abstract

In previous works, we proposed a method to characterize jointly self-similarity and anisotropy properties of a large class of self--similar Gaussian random fields. We provide here a mathematical analysis of our approach, proving that the sharpest way of measuring smoothness is related to these anisotropies and thus to the geometry of these fields.

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M. Clausel, B. Vedel. 2013-02-04. A strong optimality result for anisotropic self--similar textures. https://arxiv.org/abs/1302.0819

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