Bridging Bernstein and Lagrange polynomials

Umberto Amato; Biancamaria Della Vecchia

Vol. 20 No. 2 (2015)

Regular Articles

Bridging Bernstein and Lagrange polynomials

Published 2015-07-25

Umberto Amato
Biancamaria Della Vecchia

Umberto Amato
Istituto per le Applicazioni del Calcolo 'Mauro Picone', Consiglio Nazionale delle Ricerche

Biancamaria Della Vecchia
Dipartimento di Matematica, Università di Roma 'La Sapienza'

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Abstract

Linear combinations of iterates of Bernstein polynomials exponentially converging to Lagrange interpolating polynomial are given. The results are applied in CAGD to get a faster weighted progressive iterative approximation technique to fit data with finer and finer precision.

Keywords

Bernstein polynomials, Lagrange interpolation, Hotelling's method, B\'ezier curves, weighted progressive iterative approximation

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Abstract

Keywords

Supplementary File(s)

Author Biography

Umberto Amato

Biancamaria Della Vecchia