@article{MAKHILLJEAS2019142118608,
    title = {Numerical Evaluation of 2-EGAOR Iterative Method on
Image Blurring using Non-Linear Diffusion Equation},
    journal = {Journal of Engineering and Applied Sciences},
    volume = {14},
    number = {21},
    pages = {7960-7966},
    year = {2019},
    issn = {1816-949x},
    doi = {jeasci.2019.7960.7966},
    url = {https://makhillpublications.co/view-article.php?issn=1816-949x&doi=jeasci.2019.7960.7966},
    author = {Nurul,Azali,Jeng and},
    keywords = {evaluation criteria,iteration,filtering process,Non-linear diffusion equation,two point Explicit Group Accelerated
Over-Relaxation (2-EGAOR),image blurring},
    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.}
    }