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arXiv · 2405.07738

Curves defined by a class of discrete operators: approximation result and applications

Rosario Corso·Gabriele Gucciardi
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Abstract

In approximation theory classical discrete operators, like generalized sampling, Sz\'{a}sz-Mirak'jan, Baskakov and Bernstein operators, have been extensively studied for scalar functions. In this paper, we look at the approximation of curves by a class of discrete operators and we exhibit graphical examples concerning several cases. The topic has useful implications about the computer graphics and the image processing: we discuss applications on the approximation and the reconstruction of curves in images.

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Rosario Corso, Gabriele Gucciardi. 2024-05-13. Curves defined by a class of discrete operators: approximation result and applications. https://arxiv.org/abs/2405.07738

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