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Approximation by rational spline functions

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Abstract

We discuss the linear precision property of NURBS functions. The degree of approximation of continuous functions is studied.

Keywords: NURBS functions; linear precision; approximation degree; modulus of smoothness

Mathematics Subject Classification (1991): 41A15, 41A25, 41A28, 41A36, 41A63, 65D07, 65D17

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References

  • 1. Beutel, L., Gonska, H., Kacsó, D., Tachev, G.: On variation-diminishing Schoenberg operators: new quantitative statements. In: Gasca, M. (ed.): Multivariate approximation and interpolation with applications. Monogr. (Real Acad. Ci. Exact. Fís.-Quím. Nat. Zaragoza 20) Zaragoza: Acad. Ci. Exact. Fís.-Quím. Nat. Zaragoza 2002, pp. 9–58

  • 2. Farin, G., Jung, D.: Linear precision of rational Bézier curves. Comput. Aided Geom. Design 12, 431–433 (1995)

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  • 3. Gonska, H., Kacsó, D., Pitul, P.: On rational B-spline functions. In: Bojanov, B. (ed): Constructive theory of functions - Varna 2005. Sofia: Marin Drinov Academic Publ. House 2006, pp. 145–147

  • 4. Păltănea, R.: Approximation theory using positive linear operators. Boston: Birkhäuser 2004

  • 5. Piegl, L., Tiller, W.: The NURBS book. Berlin: Springer 1995

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Tachev, G.T. Approximation by rational spline functions. Calcolo 43, 279–286 (2006). https://doi.org/10.1007/s10092-006-0125-5

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  • DOI: https://doi.org/10.1007/s10092-006-0125-5

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