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Data Visualization Using Rational Trigonometric Spline

Author

Listed:
  • Uzma Bashir
  • Jamaludin Md. Ali

Abstract

This paper describes the use of trigonometric spline to visualize the given planar data. The goal of this work is to determine the smoothest possible curve that passes through its data points while simultaneously satisfying the shape preserving features of the data. Positive, monotone, and constrained curve interpolating schemes, by using a C1 piecewise rational cubic trigonometric spline with four shape parameters, are developed. Two of these shape parameters are constrained and the other two are set free to preserve the inherited shape features of the data as well as to control the shape of the curve. Numerical examples are given to illustrate the worth of the work.

Suggested Citation

  • Uzma Bashir & Jamaludin Md. Ali, 2013. "Data Visualization Using Rational Trigonometric Spline," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnljam:v:2013:y:2013:i:1:n:531497
    DOI: 10.1155/2013/531497
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    References listed on IDEAS

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    1. Farheen Ibraheem & Maria Hussain & Malik Zawwar Hussain & Akhlaq Ahmad Bhatti, 2012. "Positive Data Visualization Using Trigonometric Function," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    2. Farheen Ibraheem & Maria Hussain & Malik Zawwar Hussain & Akhlaq Ahmad Bhatti, 2012. "Positive Data Visualization Using Trigonometric Function," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-19, November.
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    Cited by:

    1. Yuanpeng Zhu & Xuli Han & Shengjun Liu, 2014. "Quartic Rational Said‐Ball‐Like Basis with Tension Shape Parameters and Its Application," Journal of Applied Mathematics, John Wiley & Sons, vol. 2014(1).
    2. Xuli Han & Yuanpeng Zhu, 2014. "Total Positivity of the Cubic Trigonometric Bézier Basis," Journal of Applied Mathematics, John Wiley & Sons, vol. 2014(1).
    3. 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).

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