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Local Control of the Curves Using Rational Cubic Spline

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  • Samsul Ariffin Abdul Karim
  • Kong Voon Pang

Abstract

This paper discussed the local control of interpolating function by using rational cubic spline (cubic/quadratic) with three parameters originally proposed by the authors. The rational spline has C1 continuity. The bounded properties of the rational cubic interpolants and shape controls of the rational interpolants are discussed in detail. The value control, inflection point control, and convexity control at a point by using the proposed rational cubic spline are constructed. Several numerical results are presented to show the capability of the method. Numerical comparisons with the existing scheme are also further elaborated. From the results, it was indicated that the scheme works well and it is comparable with the established existing scheme.

Suggested Citation

  • Samsul Ariffin Abdul Karim & Kong Voon Pang, 2014. "Local Control of the Curves Using Rational Cubic Spline," Journal of Applied Mathematics, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnljam:v:2014:y:2014:i:1:n:872637
    DOI: 10.1155/2014/872637
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    References listed on IDEAS

    as
    1. Uzma Bashir & Jamaludin Md. Ali, 2013. "Data Visualization Using Rational Trigonometric Spline," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-10, June.
    2. Uzma Bashir & Jamaludin Md. Ali, 2013. "Data Visualization Using Rational Trigonometric Spline," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
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    Cited by:

    1. Samsul Ariffin Abdul Karim & Kong Voon Pang, 2016. "Shape Preserving Interpolation Using C2 Rational Cubic Spline," Journal of Applied Mathematics, John Wiley & Sons, vol. 2016(1).

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