Bridging Bernstein and Lagrange polynomials

Academic Article
Publication Date:
2015
abstract:
Linear combinations of iterates of Bernstein polynomials exponentially converging to the Lagrange interpolating polynomial are given. The results are applied in CAGD to get an exponentially fast weighted progressive iterative approximation technique to fit data with finer and finer precision.
Iris type:
01.01 Articolo in rivista
Keywords:
Bernstein polynomials; Lagrange interpolation; Hotelling's method; Bezier curves; weighted progressive iterative approximation
List of contributors:
Authors of the University:
Handle:
https://iris.cnr.it/handle/20.500.14243/315712
Published in:
MATHEMATICAL COMMUNICATIONS
Journal