Abstract

In this paper a description is given of a computationally efficient algorithm, based on the two-dimensional fast Fourier transform (FFT), for the estimation of multiple translational motions from a sequence of images. The proposed algorithm relies on properties of the projection (Radon) transform to reduce the problem from three to two dimensions and is effective in isolating and reliably estimating several superimposed motions in the presence of moderate levels of noise. Furthermore, the reliance of this algorithm on a novel array processing technique for line detection allows for the efficient estimation of the motion parameters. It is shown that while the technique presented herein is not expected to exhibit the same performance as that of comparable techniques based on the three-dimensional FFT, it is an attractive alternative that makes modest sacrifices in performance for gains in computational complexity.

© 1996 Optical Society of America

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