Deblurring Gaussian blur

B.M. Haar Romenij, ter, L.M.J. Florack, Mark Swart, Janita Wilting, M.A. Viergever

    Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

    5 Citations (Scopus)
    1 Downloads (Pure)

    Abstract

    To enhance Gaussian blurred images the structure of Gaussian scale-space is studied in a small environment along the scale axis. A local Taylor-expansion in the negative scale-direction requires the calculation of high order derivatives with respect to scale. The generating differential equation for linear scale- space, the isotropic diffusion equation, relates these derivatives to spatial Laplaceans. The high order spatial derivatives are calculated by means of convolution with Gaussian derivative kernels, enabling well-posed differentiation. Deblurring incorporating even 32th order spatial derivatives is accomplished successfully. A physical limit is experimentally shown for the Gaussian derivatives due to discrete raster representation and coarseness of the intensity discretization.
    Original languageEnglish
    Title of host publicationMathematical methods in medical imaging III, 25-26 July 1994, San Diego, California
    EditorsF. Bookstein, J.S. Duncan, N. Lange, xx Wilson D.C.
    Place of PublicationBellingham, Washington
    PublisherSPIE
    Pages139-148
    DOIs
    Publication statusPublished - 1994
    EventSPIE's International Symposium on Optics, Imaging, and Instrumentation -
    Duration: 25 Jul 199426 Jul 1994

    Publication series

    NameProceedings of SPIE
    Volume2299
    ISSN (Print)0277-786X

    Conference

    ConferenceSPIE's International Symposium on Optics, Imaging, and Instrumentation
    Period25/07/9426/07/94
    OtherSPIE's International Symposium on Optics, Imaging, and Instrumentation

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