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A strong optimality result for anisotropic self--similar textures
Published 4 Feb 2013 in math.PR | (1302.0819v1)
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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