Affiliation:
1. Dipartimento di Matematica e Informatica Università degli Studi di Palermo Palermo Italy
2. Università degli Studi di Palermo Palermo Italy
Abstract
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.
Reference46 articles.
1. The sampling theorem and linear prediction in signal analysis;Butzer P. L.;Jahresber. Dtsch. Math.‐Ver.,1988
2. W.Splettstößer. (1977).Über die Approximation stetiger Funktionen dlurch die klassischen und dlurch die neuen Abtastsummen mit Fehlerabschätzungen Doctoral Dissertation RWTH Aachen Aachen.
3. Approximation of continuous functions with the aid of polynomials;Mirakjan G. M.;(Russian), Dokl. Akad. Nauk SSSR,1941
4. Generalization of Bernstein's polynomials to the infinite interval