Directionlets and some generalized nonlinear selfsimilarities (Q2906112)

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scientific article; zbMATH DE number 6073387
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English
Directionlets and some generalized nonlinear selfsimilarities
scientific article; zbMATH DE number 6073387

    Statements

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    28 August 2012
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    Wavelets
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    self-similarity
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    regularity
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    convolution
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    harmonics
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    Directionlets and some generalized nonlinear selfsimilarities (English)
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    The author introduces the notion of multi-regularity or directional regularity and provides a characterization using directional wavelets. Furthermore, a class of nonlinear anisotropic self-similar functions is defined and it is proved that for the detection of singularities, elements of this class are comparable to directional wavelets.
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