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Computation of Hermite interpolation in terms of B-spline basis using polar forms

Author

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  • Lamnii, A.
  • Lamnii, M.
  • Oumellal, F.

Abstract

The aim of this paper is to present an Hermite interpolation problem with B-splines of high degree of smoothness. More precisely, we use polar forms to find the B-spline control points for Hermite interpolation. The resulting formula is used to give Hermite basis functions. In particular, Quadratic C1 and cubic C2 interpolations with sharp parameters are analyzed.

Suggested Citation

  • Lamnii, A. & Lamnii, M. & Oumellal, F., 2017. "Computation of Hermite interpolation in terms of B-spline basis using polar forms," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 134(C), pages 17-27.
    • Handle: RePEc:eee:matcom:v:134:y:2017:i:c:p:17-27
    DOI: 10.1016/j.matcom.2016.09.009
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    References listed on IDEAS

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    1. Serghini, A. & Tijini, A., 2015. "Construction of univariate spline quasi-interpolants with symmetric functions," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 118(C), pages 329-342.
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    Cited by:

    1. Rahouti, A. & Serghini, A. & Tijini, A., 2020. "Construction of superconvergent quasi-interpolants using new normalized C2 cubic B-splines," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 178(C), pages 603-624.
    2. Bouhiri, S. & Lamnii, A. & Lamnii, M. & Zidna, A., 2021. "Quasi-interpolant operators in Bernstein basis," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 186(C), pages 80-90.
    3. Barrera, D. & Eddargani, S. & Ibáñez, M.J. & Lamnii, A., 2022. "A new approach to deal with C2 cubic splines and its application to super-convergent quasi-interpolation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 194(C), pages 401-415.

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