Automatic deconvolution and phase retrieval

Details Automatic deconvolution and phase retrieval Automatic deconvolution and phase retrieval

Jan 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987spie..828..158b&link_type=abstract

IN: Digital image recovery and synthesis; Proceedings of the Meeting, San Diego, CA, Aug. 17, 18, 1987 (A88-51101 22-35). Bellin

Mathematics

1

Convolution Integrals, Image Processing, Iterative Solution, Noise Reduction, Fourier Transformation, Robustness (Mathematics), Speckle Patterns

Scientific paper

The close relationship between Fourier phase retrieval and blind deconvolution is discussed. It is shown how advances made in phase retrieval and be successfully applied to solving problems requiring blind deconvolution. Firstly, the use of Fienup's iterative algorithms as the first stage in a deconvolution strategy is described. In contrast to earlier direct techniques, which all appear to be very susceptible to noise, the deconvolution algorithm presented herein is capable of image recovery in the presence of appreciable noise. Secondly, an extension to the zero-and-add technique which incorporates the greatly increased informational content in the zeros af multi-dimentional, as opposed to one-dimensional, images is discussed. It appears that the concept of zero-sheets can be invoked to improve the robustness of zero-and-add.

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