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Optics Letters

| RAPID, SHORT PUBLICATIONS ON THE LATEST IN OPTICAL DISCOVERIES

  • Vol. 21, Iss. 13 — Jul. 1, 1996
  • pp: 979–981

Image reconstruction from spectral magnitude under a nonnegativity constraint

Noriaki Miura and Naoshi Baba  »View Author Affiliations


Optics Letters, Vol. 21, Issue 13, pp. 979-981 (1996)
http://dx.doi.org/10.1364/OL.21.000979


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Abstract

It is shown that a band-limited spectrum of a nonnegative object can be represented as the autoconvolution of a spectrum whose cutoff frequency is half of the band limit. This permits spectral-magnitude-only reconstruction with a nonnegativity constraint without a support constraint. A magnitude-only reconstruction method using a conjugate-gradient procedure is developed and is investigated by computer simulations.

© 1996 Optical Society of America

History
Original Manuscript: January 16, 1996
Published: July 1, 1996

Citation
Noriaki Miura and Naoshi Baba, "Image reconstruction from spectral magnitude under a nonnegativity constraint," Opt. Lett. 21, 979-981 (1996)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-21-13-979

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