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Positivity and Monotonicity Preserving Biquartic Rational Interpolation Spline Surface

Author

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  • Xinru Liu
  • Yuanpeng Zhu
  • Shengjun Liu

Abstract

A biquartic rational interpolation spline surface over rectangular domain is constructed in this paper, which includes the classical bicubic Coons surface as a special case. Sufficient conditions for generating shape preserving interpolation splines for positive or monotonic surface data are deduced. The given numeric experiments show our method can deal with surface construction from positive or monotonic data effectively.

Suggested Citation

  • Xinru Liu & Yuanpeng Zhu & Shengjun Liu, 2014. "Positivity and Monotonicity Preserving Biquartic Rational Interpolation Spline Surface," Journal of Applied Mathematics, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnljam:v:2014:y:2014:i:1:n:987076
    DOI: 10.1155/2014/987076
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    References listed on IDEAS

    as
    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. Xingxuan Peng & Zhihong Li & Qian Sun, 2012. "Nonnegativity Preserving Interpolation by C1 Bivariate Rational Spline Surface," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    3. 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. Samsul Ariffin Abdul Karim & Kong Voon Pang & Azizan Saaban, 2015. "Positivity Preserving Interpolation Using Rational Bicubic Spline," Journal of Applied Mathematics, John Wiley & Sons, vol. 2015(1).

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