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Open AccessArticle

Image Interpolation Using a Rational Bi-Cubic Ball

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Fundamental and Applied Sciences Department, Universiti Teknologi PETRONAS, Bandar Seri Iskandar, Seri Iskandar 32610, Perak DR, Malaysia
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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
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Department of Information Science, College of Computing Sciences & Engineering, Kuwait University, P.O. Box # 5969, Safat 13060, Kuwait
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Department of Mathematical Sciences, BUITEMS, Quetta 87300, Pakistan
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Department of Mathematics, College of Arts and Sciences, Prince Sattam bin Abdulaziz University, Wadi Aldawaser 11991, Saudi Arabia
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Authors to whom correspondence should be addressed.
Mathematics 2019, 7(11), 1045; https://doi.org/10.3390/math7111045
Received: 21 August 2019 / Revised: 8 September 2019 / Accepted: 11 September 2019 / Published: 3 November 2019
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. View Full-Text
Keywords: image interpolation; free parameters; image upscaling; PSNR; RMSE; FSIM image interpolation; free parameters; image upscaling; PSNR; RMSE; FSIM
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Zulkifli, N.A.B.; Karim, S.A.A.; Shafie, A.B.; Sarfraz, M.; Ghaffar, A.; Nisar, K.S. Image Interpolation Using a Rational Bi-Cubic Ball. Mathematics 2019, 7, 1045.

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