Approximation of a continuous curve by its Bernstein-Bézier operator

DOI10.1007/S00009-010-0094-4zbMath1231.65036OpenAlexW1982301580MaRDI QIDQ644594

Gancho T. Tachev

Publication date: 4 November 2011

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-010-0094-4

zbMATH Keywords

control polygonmoduli of continuityapproximation degreeinteger and rational Bézier curvesnon-uniform rational B-spline curves

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Multidimensional problems (41A63) Rate of convergence, degree of approximation (41A25) Spline approximation (41A15) Computer-aided design (modeling of curves and surfaces) (65D17) Simultaneous approximation (41A28) Approximation by positive operators (41A36)

Related Items (1)

Modified Bézier curves with shape-preserving characteristics using differential evolution optimization algorithm

Cites Work

• Unnamed Item
• Approximation by rational spline functions
• Best bounds on the approximation of polynomials and splines by their control structure
• Sharp, quantitative bounds on the distance between a polynomial piece and its Bézier control polygon
• Convergence of subdivision and degree elevation

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