Application of polynomial transforms in image deblurring

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    Abstract

    In this paper, we present an algorithm for deblurring and interpolating digital images. Deblurring is an ill-posed problem, which can be made well-behaved by introducing assumptions about the input image. The algorithm described in this paper assumes that images can be described by local polynomial expansions. The mapping between an image and the coefficients of the polynomial approximation is called a polynomial transform. It is shown that, by using this image approximation, deblurring becomes equivalent to estimating the polynomial transform coefficients of the image. In practice, the noise and sampling of the blurred image limit the order of the coefficients that can be estimated reliably.
    Original languageEnglish
    Title of host publicationVisual Communications and Image Processing IV
    EditorsW.A. Pearlman
    Place of PublicationBellingham
    PublisherSPIE
    Pages655-666
    VolumeIII
    ISBN (Electronic)9780819402387
    DOIs
    Publication statusPublished - 1989
    Event1989 Symposium on Visual Communications, Image Processing, and Intelligent Robotics Systems - Philadelphia, United States
    Duration: 8 Nov 198910 Nov 1989

    Publication series

    NameProceedings of SPIE
    Volume1199
    ISSN (Electronic)0277-786X

    Conference

    Conference1989 Symposium on Visual Communications, Image Processing, and Intelligent Robotics Systems
    Country/TerritoryUnited States
    CityPhiladelphia
    Period8/11/8910/11/89

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