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.
Highlights
Image scaling is the task of resizing a digital image, that requires an image interpolation to obtain better resolution
Since the scheme with more free parameters gives the better quality of image interpolation, it motivated us to present a new rational bi-cubic Ball function with six parameters defined on rectangular meshes
The comparison results in terms of PSNR, root mean square error (RMSE) and feature similarity (FSIM) between the proposed scheme and others are denoted BB
Summary
Image scaling (up/down) is the task of resizing a digital image, that requires an image interpolation to obtain better resolution. Advantage: Have free parameters to modify any point of interpolating region without changing the data. Advantage: Have free parameters to modify the interpolating image data points and using Genetic Algorithm (GA) to find the optimum value of parameters. Advantage: Have free parameters to modify the interpolating image data points. Advantage: The scheme designed by using the rational cubic spline with 2 parameters in description and GA is used to optimal the value of parameters. Since the scheme with more free parameters gives the better quality of image interpolation (upscaling or downscaling), it motivated us to present a new rational bi-cubic Ball function with six parameters defined on rectangular meshes.
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