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Multi-view Video Coding (MVC) employs both motion and disparity estimation within the encoding process. These provide a significant increase in coding efficiency at the expense of a substantial increase in computational requirements. This paper presents a fast motion and disparity estimation technique that utilizes the multi-view geometry together with the depth information and the corresponding encoded motion vectors from the reference view, to produce more reliable motion and disparity vector predictors for the current view. This allows for a smaller search area which reduces the computational cost of the multi-view encoding system. Experimental results confirm that the proposed techniques can provide a speed-up gain of up to 4.2 times, with a negligible loss in the rate-distortion performance for both the color and the depth MVC.