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We present a study concerning the construction, the properties and the applications in image processing of a family of nonstationary biorthogonal wavelet filterbanks. Such a family is generated by a class of functions satisfying level-dependent refinement equations and includes cardinal polynomial B-splines. Nonstationarity offers a greater flexibility and a better adaptation to the local image content, allowing for a more focused scale-space analysis and thus providing better results when compared to classical biorthogonal B-spline filters.
This presentation is part of Minisymposium “MS47 - Splines in Imaging (3 parts)”
organized by: Carolina Beccari (Dept. Mathematics, University of Bologna) , Virginie Uhlmann (EPFL, Lausanne) , Michael Unser (EPFL, Lausanne) .