We extend some results concerning univariate generalized sampling approximation to the multivariate frame. We give estimates of the approximation error of the multivariate generalized sampling series for not necessarily continuous functions in L^p(R^n)-norm, using the averaged modulus of smoothness of Sendov and Popov type. Finally we study some concrete examples and give applications to image processing, in particular to biomedical images.
Generalized sampling approximation for multivariate discontinuous signals and applications to image processing
BARDARO, Carlo;MANTELLINI, Ilaria;VINTI, Gianluca
2014
Abstract
We extend some results concerning univariate generalized sampling approximation to the multivariate frame. We give estimates of the approximation error of the multivariate generalized sampling series for not necessarily continuous functions in L^p(R^n)-norm, using the averaged modulus of smoothness of Sendov and Popov type. Finally we study some concrete examples and give applications to image processing, in particular to biomedical images.File in questo prodotto:
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