Optimal projection of 2-D displacements for 3-D translational motion estimation

Abstract Recovering 3-D motion parameters from 2-D displacements is a difficult task, given the influence of noise contained in these data, which correspond at best to a crude approximation of the real motion field. Stability for the system of equations to solve is therefore essential. In this paper, we present a novel method based on an unbiased estimator that aims at enhancing this stability and strongly reduces the influence of noise contamination. Experimental results using synthetic and real optical flows are presented to demonstrate the effectiveness of our method in comparison to a set of selected methods.

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