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EnglishIn this paper we study a nonlinear version of the Sampling Kantorovich type operators in a multivariate setting and we show applications to Image Processing. By means of the above operators, we are able to reconstruct continuous and uniformly continuous signals/images (functions). Moreover, we study the modular convergence of these operators in the setting of Orlicz spaces $\Lphi$ that allows us to deal the case of not necessarily continuous signals/images. The convergence theorems in $L^p(\R^n)$-spaces, $L^{\alpha}\log^{\beta}L(\R^n)$-spaces and exponential spaces follow as particular cases. Several graphical representations, for the various examples and Image Processing applications are included.
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| Titolo: | Approximation by Nonlinear Multivariate Sampling Kantorovich Type Operators and Applications to Image Processing | |
| Autori: | ||
| Data di pubblicazione: | 2013 | |
| Rivista: | ||
| Abstract: | In this paper we study a nonlinear version of the Sampling Kantorovich type operators in a multiv...ariate setting and we show applications to Image Processing. By means of the above operators, we are able to reconstruct continuous and uniformly continuous signals/images (functions). Moreover, we study the modular convergence of these operators in the setting of Orlicz spaces $\Lphi$ that allows us to deal the case of not necessarily continuous signals/images. The convergence theorems in $L^p(\R^n)$-spaces, $L^{\alpha}\log^{\beta}L(\R^n)$-spaces and exponential spaces follow as particular cases. Several graphical representations, for the various examples and Image Processing applications are included. | |
| Handle: | http://hdl.handle.net/11391/529097 | |
| Appare nelle tipologie: | 1.1 Articolo in rivista |
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