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In this paper, we propose a new approach to 3D depth map motion estimation and compensation for 3D video compression. 3D video provides realistic vision and will be a feature of future video displays. The many kinds of 3D formats include multiview 3D, single view with a depth map, time division multiple 3D, and so on. 3D video requires huge quantities of data and requires a great deal of storage space to store 3D information. In addition, when 3D video is transmitted, the huge amount of data should be compressed to reduce bandwidth usage. In order to solve this problem, we adopt single view with a depth map 3D format and design a 3D depth map compression scheme for 3D video. We consider depth map motion estimation and compensation to achieve temporal compression of 3D video.