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

被引：1

作者：

Corso, Rosario ^{[1
]}

Gucciardi, Gabriele ^{[2
]}

机构：

[1] Univ Palermo, Dipartimento Matemat & Informat, Palermo, Italy

[2] Univ Palermo, Palermo, Italy

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2025年 / 48卷 / 02期

关键词：

approximation; curves; discrete operators; images; sampling operators; KANTOROVICH; SPACES;

D O I：

10.1002/mma.10441

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In approximation theory, classical discrete operators, like generalized sampling, Sz & aacute;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.

引用

页码：2388 / 2403

页数：16

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[21] Korovkin-type approximation in spaces of vector-valued and set-valued functions [J].