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We have developed a high-precision method that selects an appropriate model of a video image in order to track an unknown face in front of a large display. Currently, Active Appearance Models (AAMs) are used to track non-rigid objects, such as a faces, because the models efficiently learn the correlation between shape and texture. The problem with an AAM is that when it tracks an unknown face, excessive training data increases tracking errors because there is an intermediate model size beyond which the reduction in fitting performance outweighs the gains from any improved representational power of the model. To increases the accuracy with which an unknown face is tracked, we built clustered models from training datasets and select a cluster that includes a face which is similar to the unknown face. Our method of clustering and cluster selecting is based on the Mutual Subspace Method (MSM). We demonstrated the effectiveness of our method by using the leave-one-out cross-validation.