Higher-order (nonlinear) diffraction tomography: reconstruction algorithms and computer simulation (Q2713846)

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scientific article; zbMATH DE number 1603025
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Higher-order (nonlinear) diffraction tomography: reconstruction algorithms and computer simulation
scientific article; zbMATH DE number 1603025

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    Higher-order (nonlinear) diffraction tomography: reconstruction algorithms and computer simulation (English)
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    10 June 2001
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    Born series
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    diffraction tomography
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    image reconstruction
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    Volterra series
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    The usual propagation transform of diffraction tomography is generalized into higher-order (nonlinear) propagation transforms via use of the Born series as the data-generating model in scattering experiments. Nonlinear tomographic reconstruction algorithms are developed for inversion of scattered field data modeled up to an arbitrarily large (possibly infinite) number of terms in the Born series. A computer simulation study is included to illustrate the performance of the algorithms for the case of scattering objects with cylindrical symmetry.
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