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Data Visualization Using Rational Trigonometric Spline

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  • 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 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, Hindawi, vol. 2013, pages 1-10, June.
    • Handle: RePEc:hin:jnljam:531497
    DOI: 10.1155/2013/531497
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    Cited by:

    1. Tyada, K.R. & Chand, A.K.B. & Sajid, M., 2021. "Shape preserving rational cubic trigonometric fractal interpolation functions," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 190(C), pages 866-891.

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