Izvorni znanstveni članak

Bridging Bernstein and Lagrange polynomials

Umberto Amato orcid.org/0000-0002-8990-2320 ; Istituto per le Applicazioni del Calcolo 'M. Picone', National Research Council of Italy, Napoli, Italy
Della Vecchia Biancamaria orcid.org/0000-0003-1482-4898 ; Dipartimento di Matematica, Universita di Roma 'La Sapienza'

Sažetak

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.

Ključne riječi

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

Hrčak ID:

149778

URI

https://hrcak.srce.hr/149778

Datum izdavanja:

18.12.2015.

Posjeta: 1.459 *