This research proposed a new approach to recognize face image under various lighting expression. The Proposed method is started by generating of the Left Diagonal Matrix (LDM) and the Right Diagonal Matrix (RDM). Subsequently, the dimensionality reduction is conducted by using Two-Dimensional Eigenface of the LDM and the RDM. The results of dimensionality reduction are selected the maximum value based on the corresponding features. Finally, the geometric similarity measurement model is carried out to obtain the recognition rate. The proposed method was evaluated using three different facial image databases, which are the YALE, the ORL and the UoB face image databases. Two until six column features were used to measure the similarity between the training and the testing sets. Experimental results revealed that the proposed method produced 92.2%, 94%, and 94.7% recognition rate for the YALE, the ORL, and the UoB face image databases respectively. The proposed method was also compared to the other methods. On the ORL face image database, the comparison results show that the proposed method outperformed to the Eigenface, the Fisherface, and the Laplacianfaces but not for O-Laplacianfaces and Two-Dimensional Principal Component Analysis method. On the YALE and the UoB face image databases, the proposed method outperformed to the other appearance methods which are the Eigenface, the Fisherface, the Laplacianfaces, the O-Laplacianfaces and Two-Dimensional Principal Component Analysis methods.In this research, Selection of the maximum values of the left and the right of the symmetrical diagonal matrix was proposed. To obtain the main features and to reduce the dimension and computation time, Two-Dimensional Principal Component Analysis was proposed to extract it. The proposed method ensured the features applied are the maximum value of the dominant features of the corresponding features.The rest of this paper was organized into four sections. the second section explains the weakness of one-dimensional of appearance methods. The third part presents the proposed method. The series of the proposed method are also presented in this part, which are the Left Diagonal Matrix or LDM, the Right Diagonal Matrix or RDM, Two-Dimensional Eigenface of the LDM, Two-Dimensional Eigenface of the RDM¸ selection of the maximum value of the LDM and the RDM features, and similarity measurement. Fourthly, experimental results are explained and followed by analysis. Finally, conclusions are written In the fifth section.
The Weakness of One-Dimensional of Appearance Methods.In the biometrics field, there are three method models to extract the main features of an object, i.e. appearance-based, features-based, and hybrid-based. An appearance-based method extracted an object based on its vision. An object is viewed as space that consists of the features. Two crucial problems on an appearance-based method, which are high dimensional measured and computational time consumed. Principal Component Analysis (PCA or 1D-PCA) is the simplest method based o...