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

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

References

Akhir, M.K.M. and J. Sulaiman, 2015. The 4-EGAOR method for solving triangle element approximation of 2D poisson equations. Appl. Math. Sci., 9: 5561-5571.
CrossRef  |  Direct Link  |  

Basran, N.A., J.H. Eng, A. Saudi and J. Sulaiman, 2018. Numerical analysis of AOR iteration for anisotropic diffusion equation in image blurring. AIP. Conf. Proc., Vol. 2013, 10.1063/1.5054239

Catte, F., P.L. Lions, J.M. Morel and T. Coll, 1992. Image selective smoothing and edge detection by nonlinear diffusion. SIAM. J. Numer. Anal., 29: 182-193.
CrossRef  |  Direct Link  |  

Chen, Y., W. Yu and T. Pock, 2015. On learning optimized reaction diffusion processes for effective image restoration. Proceedings of the IEEE International Conference on Computer Vision and Pattern Recognition, June 7-12, 2015, IEEE, Boston, Massachusetts, USA., ISBN:978-1-4673-6964-0, pp: 5261-5269.

Chew, J.V.L. and J. Sulaiman, 2017. Application of four-point newton-EGSOR iteration for the numerical solution of 2D Porous Medium Equations. J. Phys. Conf. Ser., 890: 1-7.
CrossRef  |  Direct Link  |  

Chew, J.V.L. and J. Sulaiman, 2018. Implicit finite difference solution of one-dimensional porous medium equations using half-sweep newton-explicit group iterative method. J. Eng. Appl. Sci., 13: 1286-1290.
CrossRef  |  Direct Link  |  

Dahalan, A.A., A. Saudi, J. Sulaiman and W.R.W. Din, 2017. Numerical evaluation of mobile robot navigation in static indoor environment via EGAOR Iteration. J. Phys. Conf. Ser., 890: 012064-012064.
Direct Link  |  

Dhanachandra, N., K. Manglem and Y.J. Chanu, 2015. Image segmentation using K-means clustering algorithm and subtractive clustering algorithm. Procedia Comput. Sci., 54: 764-771.
CrossRef  |  Direct Link  |  

Dollar, P. and C.L. Zitnick, 2015. Fast edge detection using structured forests. IEEE. Trans. Pattern Anal. Mach. Intell., 37: 1558-1570.
CrossRef  |  Direct Link  |  

Eng, J.H., A. Saudi and J. Sulaiman, 2017. Numerical analysis of the explicit group iterative method for solving poisson image blending problem. Intl. J. Imaging Rob., 17: 15-24.
Direct Link  |  

Eng, J.H., A. Saudi and J. Sulaiman, 2017. Numerical evaluation of solving poisson image blending problem by four-point EGSOR iterative method. Far East J. Math. Sci., 102: 3127-3139.
CrossRef  |  

Eng, J.H., A. Saudi and J. Sulaiman, 2018. Performance analysis of the explicit decoupled group iteration via five-point rotated Laplacian operator in solving poisson image blending problem. Indian J. Sci. Technol., 11: 1-6.
CrossRef  |  Direct Link  |  

Hadjidimos, A., 1978. Accelerated overrelaxation method. Math. Comput., 32: 149-157.
CrossRef  |  Direct Link  |  

Hama, S.M. and M.S. Al-Ani, 2013. Medical image enhancement based on an efficient approach for adaptive anisotropic diffusion. Intl. J. Adv. Eng. Technol., 6: 1424-1430.

Hong, E.J., A. Saudi and J. Sulaiman, 2017. Application of SOR iteration for poisson image blending. Proceedings of the International Conference on High Performance Compilation, Computing and Communications (HP3C-2017), March 22-24, 2017, ACM, New York, USA., ISBN:978-1-4503-4868-3, pp: 60-64.

Kamalaveni, V., R. Anitha Rajalakshmi and K.A. Narayanankutty, 2015. Image denoising using variations of perona-malik with different edge stopping functions. Procedia Comput. Sci., 58: 673-682.
CrossRef  |  Direct Link  |  

Li, Y., F. Liu, I.W. Turner and T. Li, 2018. Time-fractional diffusion equation for signal smoothing. Appl. Math. Comput., 326: 108-116.
CrossRef  |  Direct Link  |  

Liu, C., X. Yan and B. Yang, 2017. An adaptive anisotropic thermal diffusion filter for image smoothing. Proceedings of the 2017 10th International Congress on Image and Signal Processing, BioMedical Engineering and Informatics (CISP-BMEI), October 14-16, 2017, IEEE, Shanghai, China, ISBN:978-1-5386-1938-4, pp: 1-5.

Ma, H. and Y. Nie, 2016. An edge fusion scheme for image denoising based on anisotropic diffusion models. J. Visual Commun. Image Represent., 40: 406-417.
CrossRef  |  Direct Link  |  

Martins, M.M., W.S. Yousif and D.J. Evans, 2002. Explicit group AOR method for solving elliptic partial differential equations. Neural Parallel Sci. Comput., 10: 411-422.
Direct Link  |  

Nomura, A., K. Okada and Y. Mizukami, 2016. Preprocessing in a reaction-diffusion algorithm designed for image edge detection. Proceedings of the 2016 IEEE International Symposium on Signal Processing and Information Technology (ISSPIT), December 12-14, 2016, IEEE, Limassol, Cyprus, ISBN:978-1-5090-5845-7, pp: 166-171.

Perona, P. and J. Malik, 1990. Scale-space and edge detection using anisotropic diffusion. IEEE Trans. Pattern Anal. Mach. Intell., 12: 629-639.
CrossRef  |  Direct Link  |  

Saudi, A., J. Sulaiman and S.H. Tanalol, 2017. Path planning in structured environment using harmonic potential fields via block iterative method. Proceedings of the 5th International Conference on Future Computational Technologies (ICFCT'2017), April 18-19, 2017, Kyoto, Japan, pp: 99-106.

Sharma, P., K. Khan and K. Ahmad, 2017. Image denoising method based on local neighbourhood and modified mean in wavelet packet domain. Global Sci. Tech., 9: 129-137.
CrossRef  |  Direct Link  |  

Weickert, J., 1998. Anisotropic Diffusion in Image Processing. Vol. 1, Teubner, Stuttgart, Germany, Pages: 184.

Weickert, J., B.M. Romeny and M.A. Viergever, 1998. Efficient and reliable schemes for nonlinear diffusion filtering. IEEE Trans. Image Process., 7: 398-410.
PubMed  |  

Wu, W. and C. Zhong, 2010. An improved nonlinear diffusion algorithm for image denoising. Proceedings of the 2010 International Conference on Computer, Mechatronics, Control and Electronic Engineering Vol. 5, August 24-26, 2010, IEEE, Changchun, China, ISBN:978-1-4244-7957-3, pp: 188-191.

Young, D., 1954. Iterative methods for solving partial difference equations of elliptic type. Trans. Am. Math. Soc., 76: 92-111.
CrossRef  |  Direct Link  |  

Yousif, W.S. and D.J. Evans, 1986. Explicit group over-relaxation methods for solving elliptic partial differential equations. Math. Comput. Simulat., 28: 453-466.
CrossRef  |  

Yu, H. and L.J. Deng, 2016. Image Editing Via Searching Source Image. In: Applied Mechanics, Mechatronics and Intelligent Systems, Qin, S. and X. Li (Eds.). World Scientific, Singapore, ISBN:789814733878, pp: 373-380.

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