Image Interpolation Using a Rational Bi-Cubic Ball
Nur Atiqah Binti Zulkifli,
Samsul Ariffin Abdul Karim,
A’fza Binti Shafie,
Muhammad Sarfraz,
Abdul Ghaffar,
Kottakkaran Sooppy Nisar
Affiliations
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, Wadi Aldawaser, 11991, Prince Sattam bin Abdulaziz University, Saudi Arabia
: 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.
