Curves defined by a class of discrete operators: Approximation result and applications
Copyright policy )Curves defined by a class of discrete operators: Approximation result and applications
In approximation theory, classical discrete operators, like generalized sampling, Szász‐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.
- Università degli studi di Salerno Italy
- University of Salerno Italy
- University of Palermo Italy
curves, 94A20, 41A35, 65D17, 94A08, Approximation by operators (in particular, by integral operators), discrete operators, Functional Analysis (math.FA), images, Mathematics - Functional Analysis, Computer-aided design (modeling of curves and surfaces), sampling operators, FOS: Mathematics, Image processing (compression, reconstruction, etc.) in information and communication theory, Settore MATH-03/A - Analisi matematica, Settore MATH-05/A - Analisi numerica, approximation, Sampling theory in information and communication theory
curves, 94A20, 41A35, 65D17, 94A08, Approximation by operators (in particular, by integral operators), discrete operators, Functional Analysis (math.FA), images, Mathematics - Functional Analysis, Computer-aided design (modeling of curves and surfaces), sampling operators, FOS: Mathematics, Image processing (compression, reconstruction, etc.) in information and communication theory, Settore MATH-03/A - Analisi matematica, Settore MATH-05/A - Analisi numerica, approximation, Sampling theory in information and communication theory
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