Volume 4, Issue 5, September 2011, Pages 863 - 873
A Convergent Solution to Matrix Bidirectional Projection Based Feature Extraction with Application to Face Recognition
Yubin Zhan, Jianping Yin, Xinwang Liu
Received 13 May 2010, Accepted 18 March 2011, Available Online 1 September 2011.
- https://doi.org/10.2991/ijcis.2011.4.5.12How to use a DOI?
- feature extraction, dimensionality reduction, maximum margin criterion, face recognition
- Recently, many feature extraction methods, which are based on the matrix representation of image and matrix bidirectional projection technique, are proposed. However, these methods in solving the two projection matrices will suffer from non-optimized or non-convergent solution. To overcome this problem, a novel feature extraction method which exploits the Maximum Margin Criterion is proposed, where an iterative optimization algorithmis designed to compute the two projectionmatrices. A noteworthy property of the proposed iterative solution algorithm is that it can monotonously increase the optimization objective, i.e., the bidirectional projection margin. According to this property, we further theoretically prove that the objective value and the solution are convergent. Moreover, the proposedmethod can automatically determine suitable feature dimensionality to obtain competitive recognition performance. Extensive and systematic experiments on CMU PIE and Yale face databases demonstrate the high convergence speed of the proposed iterative optimization procedure, as well as the superiority of the proposed feature extraction method over other state-of-the-art approaches in face recognition.
- Open Access
- This is an open access article distributed under the CC BY-NC license.
Cite this article
TY - JOUR AU - Yubin Zhan AU - Jianping Yin AU - Xinwang Liu PY - 2011 DA - 2011/09 TI - A Convergent Solution to Matrix Bidirectional Projection Based Feature Extraction with Application to Face Recognition JO - International Journal of Computational Intelligence Systems SP - 863 EP - 873 VL - 4 IS - 5 SN - 1875-6883 UR - https://doi.org/10.2991/ijcis.2011.4.5.12 DO - https://doi.org/10.2991/ijcis.2011.4.5.12 ID - Zhan2011 ER -