A natural application of Shannon sampling operators is imaging. We can represent a discrete image as a continuous function using generalized Shannon sampling series. Many image resizing (resampling) algorithms use such type of representation. We consider sampling operators with kernels, mostly bandlimited, defined as Fourier' transform of certain window function. We study approximation properties of such sampling operators and show some applications of the sampling operators in image superresolution algorithms.

This presentation is part of Minisymposium “MS2 - Interpolation and Approximation Methods in Imaging (4 parts)”
organized by: Alessandra De Rossi (University of Torino) , Costanza Conti (University of Firenze) , Francesco Dell'Accio (University of Calabria) .

Authors:

Gert Tamberg (Tallinn University of Technology)

Keywords:

approximation theory, image compression, image enhancement, image reconstruction, image representation, order of approximation, sampling operators