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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 73, Iss. 11 — Nov. 1, 1983
  • pp: 1421–1426

Reconstruction of objects having latent reference points

J. R. Fienup  »View Author Affiliations

JOSA, Vol. 73, Issue 11, pp. 1421-1426 (1983)

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A simple recursive algorithm is proposed for reconstructing certain classes of two-dimensional objects from their autocorrelation functions (or equivalently from the modulus of their Fourier transforms—the phase-retrieval problem). The solution is shown to be unique in some cases. The objects contain reference points not satisfying the holography condition but satisfying weaker conditions. Included are objects described by Fiddy et al. [ Opt. Lett. 8, 96 ( 1983)] satisfying Eisenstein’s thorem.

© 1983 Optical Society of America

J. R. Fienup, "Reconstruction of objects having latent reference points," J. Opt. Soc. Am. 73, 1421-1426 (1983)

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