Abstract

Isometric feature mapping(Isomap) algorithm is topologically unstable if the input data are distorted.Therefore,an improved Isomap algorithm was proposed.In the improved algorithm,Image Euclidean Distance(IMED) was embedded into Isomap algorithm.Firstly,the authors transformed images into image Euclidean Distance(ED) space through a linear transformation by introducing metric coefficients and metric matrix;then,Euclidean distance matrix of images in the transformed space was calculated to find the neighborhood graph and geodesic distance matrix;finally,low-dimensional embedding was constructed by MultiDimensional Scaling(MDS) algorithm.Experiments with the improved algorithm and nearest-neighbor classifier were conducted on ORL and Yale face database.The results show that the proposed algorithm outperforms Isomap with average recognition rate by 5.57% and 3.95% respectively,and the proposed algorithm has stronger robustness for face recognition with small changes.

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