We present a new approach to compute the motion estimation in digital videos using 2D amplitude-modulation frequency-modulation (AM-FM) methods. The optical flow vectors are computed using an iteratively reweighted norm for total variation (IRN-TV) algorithm. We compare the proposed method using synthetic videos versus a previous three-dimensional AM-FM based method and available motion estimation methods available in free and commercial software. The proposed approach produces dense estimates that are more accurate than competitive methods.