OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Vol. 11, Iss. 8 — Aug. 1, 1994
  • pp: 2210–2214

Image reconstruction from power spectral data with use of point-zero locations

Pi-Tung Chen and Michael A. Fiddy  »View Author Affiliations

JOSA A, Vol. 11, Issue 8, pp. 2210-2214 (1994)

View Full Text Article

Enhanced HTML    Acrobat PDF (676 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



A simple method for reconstructing a two-dimensional image from power spectral data is proposed. By locating the points at which the Fourier intensity data are zero, we use a product of point-zero factors to approximate the complex spectrum. A simple iterative method then successfully refines this phase estimate.

© 1994 Optical Society of America

Original Manuscript: February 3, 1994
Manuscript Accepted: March 13, 1994
Published: August 1, 1994

Pi-Tung Chen and Michael A. Fiddy, "Image reconstruction from power spectral data with use of point-zero locations," J. Opt. Soc. Am. A 11, 2210-2214 (1994)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. R. H. T. Bates, B. K. Quek, C. R. Parker, “Some implications of zero sheets for blind deconvolution and phase retrieval,” J. Opt. Soc. Am. A 7, 468–479 (1990). [CrossRef]
  2. J. H. Seldin, J. R. Fienup, “Numerical investigation of the uniqueness of phase retrieval,” J. Opt. Soc. Am. A 7, 412–427 (1990). [CrossRef]
  3. M. A. Fiddy, “The role of analyticity in image recovery,” in Image Recovery: Theory and Application, H. Stark, ed. (Academic, Orlando, Fla., 1987), Chap. 13.
  4. M. H. Hayes, J. H. McClellan, “Reducible polynomials in more than one dimension,” Proc. IEEE 70, 197–198 (1982). [CrossRef]
  5. J. L. C. Sanz, T. S. Huang, “Unique reconstruction of a band-limited multidimensional signal from its phase or magnitude,” J. Opt. Soc. Am. 73, 1446–1450 (1983). [CrossRef]
  6. J. C. Dainty, M. A. Fiddy, “The essential role of prior knowledge in phase retrieval,” Opt. Acta 31, 325–330 (1984). [CrossRef]
  7. M. S. Scivier, M. A. Fiddy, “Phase ambiguities and the zeros of multidimensional band-limited functions,” J. Opt. Soc. Am. A 2, 693–697 (1985). [CrossRef]
  8. N. B. Baranova, A. V. Mamaev, N. F. Pilipetsky, V. V. Shkunov, B. Ya. Zel’dovich, “Wave-front dislocations,” J. Opt. Soc. Am. 73, 525–528 (1983). [CrossRef]
  9. M. A. Fiddy, B. J. Brames, J. C. Dainty, “Enforcing irreducibility for phase retrieval in two dimensions,” Opt. Lett. 8, 96–98 (1983). [CrossRef] [PubMed]
  10. J. R. Fienup, “Phase retrieval algorithm: a comparison,” Appl. Opt. 21, 2758–2769 (1982). [CrossRef] [PubMed]
  11. C. C. Wackerman, A. E. Yagle, “Use of Fourier domain real-plane zeros to overcome a phase retrieval stagnation,” J. Opt. Soc. Am. A 8, 1898–1904 (1991). [CrossRef]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited