Object support reconstruction from the support of its autocorrelation using multiresolution genetic algorithms

    Authors

    L. I. Voicu; W. A. Rabadi;H. R. Myler

    Comments

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    Abbreviated Journal Title

    Opt. Eng.

    Keywords

    phase retrieval; image reconstruction; genetic algorithms; multiresolution; PHASE; Optics

    Abstract

    The problem of reconstructing the support of an imaged object from the support of its autocorrelation is addressed within the framework of genetic algorithms. First, we propose a method of coding binary sets into chromosomes that is both efficient and general, producing reasonably short chromosomes and being able to represent convex objects, as well as some non-convex and even clustered ones. Furthermore, in order to compensate for the computational costs normally incurred when genetic algorithms are applied, a novel multiresolution version of the algorithm was introduced and tested. The multiresolution genetic algorithm consists of a superposition of multiple algorithms evolving at different resolutions, sequentially. Upon occurrence of some convergence criteria at the current scale, the genetic population was mapped at a superior scale by a coarse-to-fine mapping that preserved the progress registered previously. This mapping is implemented in a genetic algorithm framework by a new genetic operator called cloning. A number of experiments of object support reconstruction were performed and the best results from different genetic generations were depicted in chronological sequence. While both versions of genetic algorithms achieved good results, the multiresolution approach was also able to substantially improve the convergence speed of the process. The effectiveness of the method can be extended even further if a parallel implementation of the genetic algorithm is employed. Finally, alternate coding methods could be readily used in both the standard and the multiresolution approaches, with no need for further adaptations of the basic structure of the genetic algorithm, (C) 1997 Society of Photo-Optical Instrumentation Engineers.

    Journal Title

    Optical Engineering

    Volume

    36

    Issue/Number

    10

    Publication Date

    1-1-1997

    Document Type

    Article

    Language

    English

    First Page

    2820

    Last Page

    2827

    WOS Identifier

    WOS:A1997YA69400023

    ISSN

    0091-3286

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