Bridging Bernstein and Lagrange polynomials

Umberto Amato, Biancamaria Della Vecchia

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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ISSN: 1331-0623 (Print), 1848-8013 (Online)