The Use of 25-Grid Point of 3D Biharmonic Equation in Human Face Recognition

Authors

  • Abdulaziz B. M. Hamed Department Mathematics & Physics, Faculty of Education, West Kordufan University, City: El-Nuhud, Sudan

DOI:

https://doi.org/10.53555/ms.v1i1.909

Keywords:

Human face recognition, fourth - order Biharmonic Equation, Finite Difference

Abstract

The paper addressed model of human face images using Mathematical methods. Human face recognition becomes a major issue and has occupied an active area in many fields. It has strong links to the general area of pattern recognition and it is demanded in commercial and security applications as they are subject to biometric systems. The basic problem in face recognition is the difficulty in solving the fourth - order Biharmonic Equation numerically to generate an Elliptic Surface. It’s also not easy to combine the Elliptic Surface discrete quantities with human face images. The study concerned with the efficiency of solving the three dimensional Biharmonic Equation in the field of human face recognition along with the modeling of face images in order to identify human by facial information. The process has involved the division of the surface by using forward finite differences method in order to get the coefficient matrices of the grid points which represent the elliptic surface and then taking the human face images by using 3D Camera and from data base. The images then have been used to get the statistic data information and the plotting curves of these data by using MATLAB. It has been found that the 25-grid point's surface is conservative field.

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Author Biography

Abdulaziz B. M. Hamed, Department Mathematics & Physics, Faculty of Education, West Kordufan University, City: El-Nuhud, Sudan



References

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Published

2015-01-31

How to Cite

Hamed, A. B. M. (2015). The Use of 25-Grid Point of 3D Biharmonic Equation in Human Face Recognition. International Journal For Research In Mathematics And Statistics, 1(1), 23–33. https://doi.org/10.53555/ms.v1i1.909

Issue

Vol. 1 No. 1 (2015): International Journal For Research In Mathematics And Statistics (ISSN: 2208-2662)

Section

Articles

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