19 May 1992 Integration of the selective-deconvolution algorithm into a multiresolution scheme
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In 1987, Franke introduced a new algorithm for the extrapolation of discrete signals. It allows the reconstruction and the extrapolation of texture segments on supports where the contour information is no longer included. This method is called the selective deconvolution and works as an iterative process using the Fourier transform and it inverse. In this paper, we study the integration of the selective deconvolution method into a multiresolution scheme. In a first algorithm, we propose to apply the selective deconvolution introduced by Franke on each one of the subband signals obtained at the output of an analysis stage. The goal of this integration is both to gain computation time and to obtain a multiresolution representation of the texture segment. Franke proposes the D.F.T. as spectral operator in his algorithm. Actually, more general spectral operators can also be considered. Therefore, in a second part of this paper, we study an iterative selective deconvolution method based on a subband decomposition rather on the D.F.T..
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Marc Van Droogenbroeck, Marc Van Droogenbroeck, Luc Vandendorpe, Luc Vandendorpe, } "Integration of the selective-deconvolution algorithm into a multiresolution scheme", Proc. SPIE 1657, Image Processing Algorithms and Techniques III, (19 May 1992); doi: 10.1117/12.58330; https://doi.org/10.1117/12.58330

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