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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 4, Iss. 1 — Jan. 1, 1987
  • pp: 118–123

Reconstruction of a complex-valued object from the modulus of its Fourier transform using a support constraint

J. R. Fienup  »View Author Affiliations


JOSA A, Vol. 4, Issue 1, pp. 118-123 (1987)
http://dx.doi.org/10.1364/JOSAA.4.000118


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Abstract

Previously it was shown that one can reconstruct an object from the modulus of its Fourier transform (solve the phase-retrieval problem) by using the iterative Fourier-transform algorithm if one has a nonnegativity constraint and a loose support constraint on the object. In this paper it is shown that it is possible to reconstruct a complex-valued object from the modulus of its Fourier transform if one has a sufficiently strong support constraint. Sufficiently strong support constraints include certain special shapes and separated supports. Reconstruction results are shown, including the effect of tapered edges on the object’s support.

© 1987 Optical Society of America

History
Original Manuscript: May 16, 1986
Manuscript Accepted: August 28, 1986
Published: January 1, 1987

Citation
J. R. Fienup, "Reconstruction of a complex-valued object from the modulus of its Fourier transform using a support constraint," J. Opt. Soc. Am. A 4, 118-123 (1987)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-4-1-118

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