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Shape Preserving Interpolation Using Rational Cubic Ball Function and Its Application in Image Interpolation

Author

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  • Samsul Ariffin Abdul Karim
  • Azizan Saaban

Abstract

New rational cubic Ball interpolation with one parameter is proposed for shape preserving interpolation such as positivity, monotonicity, and convexity preservations and constrained data lie on the same side of the given straight line. To produce shape preserving interpolant, the data dependent sufficient condition is derived on the parameter. The rational bicubic Ball function is constructed by using tensor product approach and it will be used for application in image upscaling. Numerical and graphical results are presented by using Mathematica and MATLAB including comparison with some existing scheme.

Suggested Citation

  • Samsul Ariffin Abdul Karim & Azizan Saaban, 2017. "Shape Preserving Interpolation Using Rational Cubic Ball Function and Its Application in Image Interpolation," Mathematical Problems in Engineering, Hindawi, vol. 2017, pages 1-12, November.
    • Handle: RePEc:hin:jnlmpe:7459218
    DOI: 10.1155/2017/7459218
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    Cited by:

    1. Nur Atiqah Binti Zulkifli & Samsul Ariffin Abdul Karim & A’fza Binti Shafie & Muhammad Sarfraz & Abdul Ghaffar & Kottakkaran Sooppy Nisar, 2019. "Image Interpolation Using a Rational Bi-Cubic Ball," Mathematics, MDPI, vol. 7(11), pages 1-18, November.

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