A new total variation based approach was developed by Rudin, Osher and Fatemi (see Physica D., vol.60, p.259, 1992) to overcome the basic limitations of all smooth regularization algorithms. The TV-based technique use the L/sup 1/ norm of the magnitude of a gradient, thus making discontinuous and nonsmooth solutions possible. In TV image restoration, the solution is obtained by solving a time-dependent, nonlinear PDE on a manifold that satisfies the degradation constraints. In practical applications, one assumes a space-varying blurring kernel and signal-dependent (e.g. multiplicative) noise. The evolution part of the TV-based PDE turned out to be related to the curve shortening equation, but scaled by an inverse.<>


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    Title :

    Total variation based image restoration with free local constraints


    Contributors:
    Rudin, L.I. (author) / Osher, S. (author)


    Publication date :

    1994-01-01


    Size :

    513090 byte




    Type of media :

    Conference paper


    Type of material :

    Electronic Resource


    Language :

    English



    Total Variation Based Image Restoration with Free Local Constraints

    Rudin, L. I. / Osher, S. / IEEE; Signal Processing Society | British Library Conference Proceedings | 1994



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