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Image Interpolation Using a Rational Bi-Cubic Ball

Author

Listed:
  • Nur Atiqah Binti Zulkifli

    (Fundamental and Applied Sciences Department, Universiti Teknologi PETRONAS, Bandar Seri Iskandar, Seri Iskandar 32610, Perak DR, Malaysia)

  • Samsul Ariffin Abdul Karim

    (Fundamental and Applied Sciences Department and Centre for Smart Grid Energy Research (CSMER), Institute of Autonomous System, Universiti Teknologi PETRONAS, Bandar Seri Iskandar, Seri Iskandar 32610, Perak DR, Malaysia)

  • A’fza Binti Shafie

    (Fundamental and Applied Sciences Department, Universiti Teknologi PETRONAS, Bandar Seri Iskandar, Seri Iskandar 32610, Perak DR, Malaysia)

  • Muhammad Sarfraz

    (Department of Information Science, College of Computing Sciences & Engineering, Kuwait University, P.O. Box # 5969, Safat 13060, Kuwait)

  • Abdul Ghaffar

    (Department of Mathematical Sciences, BUITEMS, Quetta 87300, Pakistan)

  • Kottakkaran Sooppy Nisar

    (Department of Mathematics, College of Arts and Sciences, Prince Sattam bin Abdulaziz University, Wadi Aldawaser 11991, Saudi Arabia)

Abstract

This study deals with the application of new rational bi-cubic Ball function with six parameters in image interpolation, especially for the grayscale image. These six free parameters can be modified to get better and quality image resolution, and refine the shape of the interpolating surface. This bivariate rational Ball function has been extended from univariate cases by using a tensor product approach. The proposed scheme is tested for image upscaling with factors of two and four through an efficient algorithm. The effectiveness of the proposed scheme is measured by using an image quality assessment (IQA), such as peak-signal-to-noise-ratio (PSNR), root mean square error (RMSE) or feature similarity (FSIM) index. Numerical and graphical results with comparisons against some existing scheme are presented by using MATLAB. The proposed scheme resulted in higher PSNR and FSIM, and smaller RMSE. Thus, the new rational bi-cubic Ball with six parameters is better than the existing scheme via an efficient algorithm.

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:11:p:1045-:d:283189
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    References listed on IDEAS

    as
    1. 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.
    2. Malik Zawwar Hussain & Samreen Abbas & Misbah Irshad, 2017. "Quadratic trigonometric B-spline for image interpolation using GA," PLOS ONE, Public Library of Science, vol. 12(6), pages 1-14, June.
    3. Abdul Majeed & Abd Rahni Mt Piah & Zainor Ridzuan Yahya, 2016. "Surface Reconstruction from Parallel Curves with Application to Parietal Bone Fracture Reconstruction," PLOS ONE, Public Library of Science, vol. 11(3), pages 1-16, March.
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    Cited by:

    1. Mawardi Bahri & Samsul Ariffin Abdul Karim, 2022. "Novel Uncertainty Principles Concerning Linear Canonical Wavelet Transform," Mathematics, MDPI, vol. 10(19), pages 1-17, September.

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