Bridging Bernstein and Lagrange polynomials
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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PDFISSN: 1331-0623 (Print), 1848-8013 (Online)