Slicing approach to bispectrum estimation

Douglas J. Granrath, Mary R. Lawler-Covell · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 1990

A fast approach to the estimation of bispectra of two-dimensional objects at high light levels is described. By radially slicing each two-dimensional specklegram to produce a set of one-dimensional signals the number of calculations required becomes 0(N3) instead of 0(N4) for (N x N)-sized specklegrams. The speed-up factor is 175 when N = 512, for example. Computer simulations of this algorithm are described and their results are summarized. These results show that a high quality result is feasible if each reconstructed slice can be accurately centered. Some approaches to solution of this problem are discussed.

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