Sampling Kantorovich operators and their applications to approximation problems and to Digital Image Processing

Here we present an overview on the theory of multivariate sampling Kantorovich operators, with some new applications to digital image processing (D.I.P.). Results concerning the convergence for the family of the sampling Kantorovich operators are showed. Moreover, in order to obtain applications to D.I.P., biomedical images are reconstructed and enhanced. The possible advantages that can be achieved by the present D.I.P. technique are discussed in details, both from the mathematical and the medical point of view.