OSA's Digital Library

Optics Letters

Optics Letters


  • Vol. 26, Iss. 3 — Feb. 1, 2001
  • pp: 134–136

Two-dimensional phase retrieval using a window function

Wooshik Kim  »View Author Affiliations

Optics Letters, Vol. 26, Issue 3, pp. 134-136 (2001)

View Full Text Article

Acrobat PDF (262 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



Two-dimensional phase retrieval by use of a window function is considered. First the uniqueness and the reconstruction of a two-dimensional signal from the Fourier intensities of the three signals, an original signal, the signal windowed by a window w(m, n) , and the signal windowed by its complementary window wc(m, n) = 1 - w(m, n) , are addressed. Then phase retrieval without a complementary window is considered. Conditions under which a signal can be uniquely specified from the Fourier intensities of the original signal and the windowed signal by w(m, n) are developed, and a reconstruction algorithm is presented.

© 2001 Optical Society of America

OCIS Codes
(100.3010) Image processing : Image reconstruction techniques
(100.3020) Image processing : Image reconstruction-restoration
(100.5070) Image processing : Phase retrieval

Wooshik Kim, "Two-dimensional phase retrieval using a window function," Opt. Lett. 26, 134-136 (2001)

Sort:  Author  |  Year  |  Journal  |  Reset


  1. S. H. Nawab, T. F. Quatieri, and J. S. Lim, IEEE Trans. Acoust. Speech Signal Process. ASSP-31, 986 (1983).
  2. R. A. Gonsalves, J. Opt. Soc. Am. A 4, 166 (1987).
  3. J. W. Wood, M. A. Fiddy, and R. E. Burge, Opt. Lett. 6, 514 (1981).
  4. N. Nakajima, J. Opt. Soc. Am. A 4, 154 (1987).
  5. N. Nakajima, J. Opt. Soc. Am. A 5, 257 (1988).
  6. W. Kim and M. H. Hayes, IEEE Trans. Signal Process. ASSP-41, 1409 (1993).
  7. M. H. Hayes and J. H. McClellan, Proc. IEEE 70, 197 (1982).
  8. M. H. Hayes, IEEE Trans. Acoust. Speech Signal Process. ASSP-30, 140 (1982).
  9. J. R. Fienup and C. C. Wakerman, J. Opt. Soc. Am. A 3, 1879 (1986).

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