OSA's Digital Library

Optics Letters

Optics Letters

| RAPID, SHORT PUBLICATIONS ON THE LATEST IN OPTICAL DISCOVERIES

  • Vol. 14, Iss. 20 — Oct. 15, 1989
  • pp: 1107–1109

Direct phase estimation from phase differences using fast elliptic partial differential equation solvers

Dennis C. Ghiglia and Louis A. Romero  »View Author Affiliations


Optics Letters, Vol. 14, Issue 20, pp. 1107-1109 (1989)
http://dx.doi.org/10.1364/OL.14.001107


View Full Text Article

Enhanced HTML    Acrobat PDF (528 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

Obtaining robust phase estimates from phase differences is a problem common to several areas of importance to the optics and signal-processing communities. Specific areas of application include speckle imaging and interferometry, adaptive optics, compensated imaging, and coherent imaging such as synthetic-aperture radar. We derive in a concise form the equations describing the phase-estimation problem, relate these equations to the general form of elliptic partial differential equations, and illustrate results of reconstructions on large M by N grids, using existing, published, and readily available FORTRAN subroutines.

© 1989 Optical Society of America

History
Original Manuscript: May 18, 1989
Manuscript Accepted: July 26, 1989
Published: October 15, 1989

Citation
Dennis C. Ghiglia and Louis A. Romero, "Direct phase estimation from phase differences using fast elliptic partial differential equation solvers," Opt. Lett. 14, 1107-1109 (1989)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-14-20-1107


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. J. W. Hardy, J. E. Lefebvre, C. L. Koliopoulos, J. Opt. Soc. Am. 67, 360 (1977). [CrossRef]
  2. W. D. Brown, D. C. Ghiglia, J. Opt. Soc. Am. A 5, 924 (1988). [CrossRef]
  3. D. C. Ghiglia, W. D. Brown, J. Opt. Soc. Am. A 5, 942 (1988). [CrossRef]
  4. D. L. Fried, J. Opt. Soc. Am. 67, 370 (1977). [CrossRef]
  5. R. H. Hudgin, J. Opt. Soc. Am. 67, 375 (1977). [CrossRef]
  6. R. J. Noll, J. Opt. Soc. Am. 68, 139 (1978). [CrossRef]
  7. B. R. Hunt, J. Opt. Soc. Am. 69, 393 (1979). [CrossRef]
  8. H. Takajo, T. Takahashi, J. Opt. Soc. Am. A 5, 416 (1988). [CrossRef]
  9. W. H. Press, B. P. Flannery, S. A. Teukolsky, W. T. Vetterling, Numerical Recipes: The Art of Scientific Computing (U. Cambridge Press, Cambridge, 1986).
  10. P. Swartztrauber, R. Sweet, Rep. NCAR-TN/1A-109 (National Center for Atmospheric Research, Boulder, Colo., 1975).
  11. H. Takajo, T. Takahashi, J. Opt. Soc. Am. A 5, 1818 (1988). [CrossRef]
  12. B. L. Busbee, G. H. Golub, C. W. Nielson, SIAM J. Numer. Anal. 7, 627 (1970). [CrossRef]
  13. B. Busbee, Source and Development of Mathematical Software, W. R. Cowell, ed. (Prentice-Hall, Englewood Cliffs, N.J., 1984).
  14. W. H. Vandevender, Rep. SAND84-0281 (Sandia National Laboratories, Albuquerque, N.M., 1984).
  15. SLATEC software is available through the National Energy Software Center, Department of Energy, Argonne National Laboratory, 9700 South Cass Avenue, Argonne, Illinois 60439.

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.

Figures

Fig. 1
 

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited