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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. 18, Iss. 5 — May. 1, 2001
  • pp: 1046–1055

Integer ambiguity resolution in phase closure imaging

André Lannes  »View Author Affiliations


JOSA A, Vol. 18, Issue 5, pp. 1046-1055 (2001)
http://dx.doi.org/10.1364/JOSAA.18.001046


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Abstract

Phase calibration is the key operation of phase closure imaging. In the case of nonredundant arrays, the related problem amounts to finding the node of a ℤ lattice closest to the end of a vector, the components of which are the differences between the closure phases of the data and those of the model. The aim of the paper is to show that this integer ambiguity problem can be solved in a very efficient manner. Its potential instabilities can also be well identified. The corresponding approach, which can be extended to redundant arrays, revisits and completes the analysis presented in a recent paper entitled “Phase calibration on interferometric graphs” [J. Opt. Soc. Am. A 16, 443 (1999)]. The procedures of self-calibration must be modified accordingly. The spinoffs of this approach also concern the integer ambiguity problems encountered in the global positioning system.

© 2001 Optical Society of America

OCIS Codes
(100.5070) Image processing : Phase retrieval
(120.3180) Instrumentation, measurement, and metrology : Interferometry
(120.5050) Instrumentation, measurement, and metrology : Phase measurement

History
Original Manuscript: May 25, 2000
Revised Manuscript: October 19, 2000
Manuscript Accepted: October 20, 2000
Published: May 1, 2001

Citation
André Lannes, "Integer ambiguity resolution in phase closure imaging," J. Opt. Soc. Am. A 18, 1046-1055 (2001)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-18-5-1046


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References

  1. A. Lannes, “Phase calibration on interferometric graphs,” J. Opt. Soc. Am. A 16, 443–454 (1999). [CrossRef]
  2. A. Lannes, “Weak phase imaging in optical interferometry,” J. Opt. Soc. Am. A 15, 811–824 (1998). [CrossRef]
  3. A. Lannes, E. Anterrieu, “Redundant spacing calibration: phase restoration methods,” J. Opt. Soc. Am. A 16, 2866–2879 (1999). [CrossRef]
  4. P. Teunissen, “The least-squares ambiguity decorrelation adjustment: a method for fast GPS integer ambiguity estimation,” J. Geodesy 70, 65–82 (1995). [CrossRef]
  5. P. J. de Jonge, “A processing strategy for the application of the GPS in networks,” in Publication on Geodesy (Netherlands Geodetic Commission, Delft, The Netherlands, 1998), Vol. 46.
  6. L. Delage, F. Reynaud, A. Lannes, “Laboratory imaging stellar interferometer with fiber links,” Appl. Opt. 39, 6406–6420 (2000). [CrossRef]

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