GA Based Rational cubic B-Spline Representation for Still Image Interpolation

Abbas, Samreen; Hussain, Malik Zawwar; Irshad, Misbah

doi:10.18187/pjsor.v12i4.1459

Cited by 5 publications

(16 citation statements)

References 6 publications

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“…Abbas et al [15] 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.…”

Section: Scheme Featuresmentioning

confidence: 99%

Image Interpolation Using a Rational Bi-Cubic Ball

et al. 2019

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: 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.

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“…Abbas et al [15] 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.…”

Section: Scheme Featuresmentioning

confidence: 99%

Image Interpolation Using a Rational Bi-Cubic Ball

et al. 2019

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“…. , } with 0 < 1 < ⋅ ⋅ ⋅ < and satisfying 0 < 1 < ⋅ ⋅ ⋅ < , we want to construct the monotonic interpolating curve by using the rational cubic Ball defined by (1). The rational cubic Ball ( ) will produce the monotonic increasing interpolating curve if and only if the first derivative at the knot , = 0, 1, .…”

Section: Mathematical Problems In Engineeringmentioning

confidence: 99%

“…There is many good research in this area. For instance, Abbas et al [1] discussed the application of rational cubic spline for image interpolation based on genetic algorithm (GA). Abbas et al [2] use similar idea as in [1] but they replace the rational cubic spline with rational cubic Ball interpolation.…”

Section: Introductionmentioning

confidence: 99%

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

Karim¹,

Saaban²

2017

Mathematical Problems in Engineering

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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.

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“…One of the main objectives of image interpolation is to obtain a better image resolution when we are dealing the grayscale and RGB images with noise or artifact [4,13,20]. Abbas et al [1] have constructed rational bi-cubic Ball interpolation with two parameters. They have extended the rational cubic Ball [3].…”

Section: Introductionmentioning

confidence: 99%

“…The optimal value of free parameters is obtained via genetic algorithm (GA). Abbas et al [2] have used the same approach as in [1] but using rational bi-cubic spline interpolation (cubic/cubic) with two free parameters. So far there is no numerical comparison between [1] and [2] for image interpolation.…”

Section: Introductionmentioning

confidence: 99%

Rational Bi-Quartic Spline With Six Parameters for Surface Interpolation With Application in Image Enlargement

Karim

2020

IEEE Access

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A new rational bi-quartic spline interpolation scheme is constructed in this study. This rational bi-quartic spline has six free parameters that can be used to refine the final interpolating surface. The degree of smoothness attained is C 1 continuity. Image interpolation is one of the methods in image processing that is used to rescale the images, either downscaling or upscaling. The proposed rational bi-quartic spline will be used to interpolate the missing pixel in image interpolation. We employ an algorithm that will speed up the process as well as be able to produce the quality upscaling images. We measure the quality of the proposed method by calculating peak-signal-to-noise-ratio (PSNR). Based on numerical comparison, the proposed scheme gives higher PSNR (consequently smaller RMSE) unlike some existing schemes. Thus, the new rational bi-quartic spline with six parameters is better than the existing scheme via an efficient algorithm. All numerical simulations and graphical results are presented using MATLAB. INDEX TERMS Image interpolation; parameters; algorithm; bi-quartic spline; image quality.

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GA Based Rational cubic B-Spline Representation for Still Image Interpolation

Cited by 5 publications

References 6 publications

Image Interpolation Using a Rational Bi-Cubic Ball

Image Interpolation Using a Rational Bi-Cubic Ball

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

Rational Bi-Quartic Spline With Six Parameters for Surface Interpolation With Application in Image Enlargement

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