Iterative Multiresolution Algorithm For Image Reconstruction From The Magnitude Of Its Fourier Transform

    Authors

    W. A. Rabadi; H. R. Myler;A. R. Weeks

    Comments

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    Abbreviated Journal Title

    Opt. Eng.

    Keywords

    image reconstruction; phase retrieval; multiresolution pyramid; iterative algorithms; laser speckle; LASER-SPECKLE PATTERNS; PHASE RETRIEVAL; Optics

    Abstract

    Iterative algorithms are currently the most effective approaches to solving a number of difficult signal reconstruction and recovery problems, and all of these algorithms suffer from stagnation and computational complexity. We propose a new multiresolution iterative approach that employs the concept of a multiresolution pyramid. This method attempts to solve the problem of image reconstruction from the measurement of the image's Fourier modulus by decomposing the problem onto different resolution grids, which enables the iterative algorithm to avoid stagnation by providing a better initial guess and enabling a higher likelihood of arriving at a global minimum while dramatically reducing the computational cost. Results on both synthetic and real-world images are shown; a performance comparison with the direct iterative algorithm demonstrates the effectiveness of our approach in terms of convergence, robustness and computational efficiency. (C) 1996 Society of Photo-Optical Instrumentation Engineers.

    Journal Title

    Optical Engineering

    Volume

    35

    Issue/Number

    4

    Publication Date

    1-1-1996

    Document Type

    Article

    Language

    English

    First Page

    1015

    Last Page

    1024

    WOS Identifier

    WOS:A1996UE92000014

    ISSN

    0091-3286

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