A strong optimality result for anisotropic self--similar textures

2013/02/04 by Clausel, M., Vedel, B.
#60G15 60G18 60G60 60G17 42C40 46E35 #FOS: Mathematics #Probability (math.PR)

paper · doi:10.48550/arxiv.1302.0819

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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