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There are several data formats available for 3D video, among which is the Multiview Video plus Depth (MVD) representation that enables depth-image-based rendering (DIBR). In addition to DIBR, the MVD data format can enable more efficient compression for texture video coding. In this paper, we propose advanced motion vector prediction (MVP) techniques which utilize the availability of depth information in the MVD format for more efficient coding of the corresponding texture pictures. The proposed MVP was implemented on top of the Multiview Video Coding (MVC) extension of the Advanced Video Coding (H.264/AVC) standard and its reference software and tested under the simulation conditions of the Call for Proposals of 3D video coding technology issued by the Moving Picture Experts Group (MPEG). In the provided simulation results the proposed scheme significantly outperformed the conventional MVP (by up to 9.9% and on average by 7.5% in Bjontegaard delta bitrate) when it was applied for coding of 3-view MVD data.