Absorption and phase retrieval with Tikhonov and joint sparsity regularizations (Q1951313)

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scientific article; zbMATH DE number 6170729
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Absorption and phase retrieval with Tikhonov and joint sparsity regularizations
scientific article; zbMATH DE number 6170729

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    Absorption and phase retrieval with Tikhonov and joint sparsity regularizations (English)
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    5 June 2013
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    The paper studies the joint estimation of absorption and phase of a sample from Fresnel diffraction intensity patterns using coherent x-ray beams. The problem is formulated as a nonlinear ill-posed operator equation and is solved approximately by Tikhonov regularization with a joint sparsity penalization term for the wavelet coefficients of the unknown absorption and the phase images.
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    nonlinear inverse problems
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    phase retrieval
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    Tikhonov regularization
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    joint sparsity
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    biomedical imaging
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    Gauss-Newton method
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    Fresnel diffraction intensity patterns
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    coherent x-ray beams
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    nonlinear ill-posed operator equation
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    wavelet
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