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Definability and stability of multiscale decompositions for manifold-valued data - MaRDI portal

Definability and stability of multiscale decompositions for manifold-valued data (Q1926294)

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Definability and stability of multiscale decompositions for manifold-valued data
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    Definability and stability of multiscale decompositions for manifold-valued data (English)
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    28 December 2012
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    This paper studies multiscale decompositions which are analogous to linear biorthogonal wavelets and reviews the known examples based on interpolatory and midpoint-interpolating subdivision rules including the simple Haar wavelets. For definable multiscale decompositions a stability theorem is obtained.
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    multiscale decomposition
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    upscaling rule
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    downscaling rule
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    interpolating scheme
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    midpoint-interpolating scheme
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    biorthogonal wavelets
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    Haar wavelets
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    stability
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