IDEAS home Printed from https://ideas.repec.org/a/eee/matcom/v134y2017icp17-27.html
   My bibliography  Save this article

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

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S037847541630177X
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.matcom.2016.09.009?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. 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.
    2. 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.
    3. 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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Bouhiri, S. & Lamnii, A. & Lamnii, M., 2019. "Cubic quasi-interpolation spline collocation method for solving convection–diffusion equations," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 164(C), pages 33-45.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:matcom:v:134:y:2017:i:c:p:17-27. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/mathematics-and-computers-in-simulation/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.