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The optical flow estimation with displacement compensation for high-speed motion

The optical flow equation (OFE) is usually used to estimate the two-dimensional (2-D) apparent motion field of the moving objects in the digital video processing. But sometimes using the OFE directly for high-speed motion analysis, we will find the obvious error in the final results. In this paper, the reason for this is discussed from the theoretical model of the OFE. Then we propose a new method to eliminate this kind of error. After approximate displacement compensation for high-speed motion, the OFE is used to estimate the residual velocity field. The sum of the compensational value and the residual velocity field becomes the final optical flow field. We analyze the validity of the new method and give the one-dimensional (1-D) example so as to explain this problem clearly. In the end, the experiments have demonstrated that the result of optical flow estimation with displacement compensation is much more accurate than the usual one for high-speed motion.