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Journal of Engineering and Applied Sciences
Year: 2019  |  Volume: 14  |  Issue: 21  |  Page No.: 7960 - 7966

Numerical Evaluation of 2-EGAOR Iterative Method on Image Blurring using Non-Linear Diffusion Equation

Nurul Afiqah Basran, Jeng Hong Eng, Azali Saudi and Jumat Sulaiman    

Abstract: The application of non-linear diffusion equation for image blurring has become a significant study in image processing field. The process is carried out by smoothing the image while preserving the crucial part of the image, i.e., edge, shape and important features using non-linear diffusion equation. However, the classical iterative method to solve the equation requires high number of computations and make the filtering process slower. This study examined 2-EGAOR iterative method as an efficient solver to the image blurring as this method involves two point in one group to solve the linear system with two weighted parameter. For the performance comparison, the results of Successive Over-Relaxation (SOR), Accelerated Over-Relaxation (AOR) and 2-EGAOR iterative methods to develop the equivalent image producing by classical Jacobi method is recorded in this study. The number of iterations and computational time in solving the linear system are used as the evaluation criteria of these iterative methods. Based on the numerical experiment, the findings has shown the 2-EGAOR method able to blurred the image slightly faster as it gives the fewer number of iterations and computational time compared to the other mention methods.

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