A recent work explicitly models the discontinuous motion estimation problem in the frequency domain where the motion parameters are estimated using a harmonic retrieval approach , . The vertical and horizontal components of the motion are independently estimated from the locations of the peaks of respective periodogram analyses and they are paired to obtain the motion vectors using a procedure proposed in . In this paper, we present a more efficient method that replaces the motion component pairing task and hence eliminates the problems of the pairing method described in . The method described in this paper uses the fuzzy c-planes (FCP) clustering approach - to fit planes to three-dimensional (3-D) frequency domain data obtained from the peaks of the periodograms. Experimental results are provided to demonstrate the effectiveness of the proposed method.