We present a complexity reduction scheme for the depth map intraprediction of three-dimensional high-efficiency video coding (3-D-HEVC). The 3-D-HEVC introduces a new set of specific tools for depth map coding, inserting additional complexity to intraprediction, which results in new challenges in terms of complexity reduction. Therefore, we present the DMMFast (depth modeling modes fast prediction), a scheme composed of two new algorithms: the simplified edge detector (SED) and the gradient-based mode one filter (GMOF). The SED anticipates the blocks that are likely to be better predicted by the traditional intramodes, avoiding the evaluation of DMMs. The GMOF applies a gradient-based filter in the borders of the block and predicts the best positions to evaluate the DMM 1. Software evaluations showed that DMMFast is capable of achieving a time saving of 11.9% on depth map intraprediction, considering the random access mode, without affecting the quality of the synthesized views. Considering the all intraconfigurations, the proposed scheme is capable of achieving, on average, a time saving of 35% considering the whole encoder. Subjective quality assessment was also performed, showing that the proposed technique inserts minimal quality losses in the final encoded video.