The Use of 25-Grid Point of 3D Biharmonic Equation in Human Face Recognition
DOI:
https://doi.org/10.53555/bp.v1i1.887Keywords:
Human face recognition, fourth - order Biharmonic Equation, Finite DifferenceAbstract
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.
Downloads
References
.Daijinkimand Jaewen Sung, (2009). Automated face analysis. Emerging Technologies and Research. Pohang University of Sciences & Technology, Digital Media Research Lab, LG Electronics. Korea.
.Gregory Shakhnarovich and BabackMoghaddam, (2004). Hand Book of face recognition, Face Recognition in Subspaces. Springeronline.com Cambridge MA 02139. USA, December.
.Refael C Gonzalez, Richard E. Woods, Steven L. Eddins, (2003), Digital Image Processing using MatlabUSA .
.Rafael C. Gonzalez, Richard E. Woods, (2002), Digital Image Processing, New Jersey,2nd Ed,USA.
.Yun Sheng, Phil Willis,Gabriela G Castro, and HussanUgail, (2011). Mathematical and Computer Modeling, Facial geometry paramerisation based on partial Differential Equations. University of Bradford, UK.
.Shaohua Kevin Zhou, Rama Chellappa, WenyiZhao,(2006),UNCONSTRAINEDFACERECOGNITION, Siemens Corporate Research, Princeton, NJ, University of Maryland, College Park, MD, Sarnoff Corporation, Princeton, NJ, USA.
. M. Arad, A. Yakhot, G. Ben-Dor,(1997). A Highly Accurate Numerical Solution of aBiharmonic Equation. Ben-Gurion University of the Negev.Israel,.
. ABDULAZIZ B. M. HAMED, MOHSIN H. A. HASHIM, MAHMOUD ALI AHMED,MANJU BARGAVI S.K, RANJETHKUMAR.S,(2013).Finite Difference Approximation Method of BiharmonicEquation In Human Face Recognition.International Journal of Advances in Computer Science and Technology.Available Online at http://warse.org/pdfs/2013/ijacst04272013.pdf.
Downloads
Published
How to Cite
Issue
Section
License
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
In consideration of the journal, Green Publication taking action in reviewing and editing our manuscript, the authors undersigned hereby transfer, assign, or otherwise convey all copyright ownership to the Editorial Office of the Green Publication in the event that such work is published in the journal. Such conveyance covers any product that may derive from the published journal, whether print or electronic. Green Publication shall have the right to register copyright to the Article in its name as claimant, whether separately
or as part of the journal issue or other medium in which the Article is included.
By signing this Agreement, the author(s), and in the case of a Work Made For Hire, the employer, jointly and severally represent and warrant that the Article is original with the author(s) and does not infringe any copyright or violate any other right of any third parties, and that the Article has not been published elsewhere, and is not being considered for publication elsewhere in any form, except as provided herein. Each author’s signature should appear below. The signing author(s) (and, in
