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This paper addresses the issue of two-view facial motion estimation for model-based facial image coding. A new approach to estimate the motion of the head and the facial expressions is presented, which can be viewed as a two-step procedure as compared with our previous approach. In this new approach M-estimation technique is used to eliminate the effect of the facial expressions on the estimation of the head movement. In this way the global head motion can be more reliably recovered. Once the global motion is obtained, the facial expressions can be estimated. Some experimental results on synthesized and real image sequences demonstrate the effectiveness of the new algorithm