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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

  • Editor: Stephen A. Burns
  • Vol. 22, Iss. 11 — Nov. 1, 2005
  • pp: 2348–2356

Convex approximation to the likelihood criterion for aperture synthesis imaging

Serge Meimon, Laurent M. Mugnier, and Guy Le Besnerais  »View Author Affiliations


JOSA A, Vol. 22, Issue 11, pp. 2348-2356 (2005)
http://dx.doi.org/10.1364/JOSAA.22.002348


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Abstract

Aperture synthesis allows one to measure visibilities at very high resolutions by coupling telescopes of reasonable diameters. We consider the case where visibility amplitudes and phase are measured separately. It leads to an estimation problem where the noise model yields a nonconvex data-likelihood criterion. We show how to optimally approximate the noise model while keeping the criterion convex. This approximation has been validated both on simulations and on experimental data.

© 2005 Optical Society of America

OCIS Codes
(100.3020) Image processing : Image reconstruction-restoration
(100.3190) Image processing : Inverse problems
(110.6770) Imaging systems : Telescopes
(120.3180) Instrumentation, measurement, and metrology : Interferometry

ToC Category:
Image Processing

History
Original Manuscript: December 1, 2004
Revised Manuscript: April 1, 2005
Manuscript Accepted: April 8, 2005
Published: November 1, 2005

Citation
Serge Meimon, Guy Le Besnerais, and Laurent M. Mugnier, "Convex approximation to the likelihood criterion for aperture synthesis imaging," J. Opt. Soc. Am. A 22, 2348-2356 (2005)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-22-11-2348


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References

  1. L. Delage, F. Reynaud, E. Thiébaut, “Imaging laboratory test on a fiber linked telescope array,” Opt. Commun. 160, 27–32 (1999). [CrossRef]
  2. A. Quirrenbach, V. Coude Du Foresto, G. Daigne, K. H. Hofmann, R. Hofmann, M. Lattanzi, R. Osterbart, R. S. Le Poole, D. Queloz, F. Vakilli, “PRIMA: study for a dual-beam instrument for the VLT interferometer,” in Astronomical Interferometry, R. D. Reasenberg, ed., Proc. SPIE3350, 807–817 (1998).
  3. T. J. Cornwell, P. N. Wilkinson, “A new method for making maps with unstable radio interferometers,” Mon. Not. R. Astron. Soc. 196, 1067–1086 (1981).
  4. J. W. Goodman, Statistical Optics (Wiley, 1985).
  5. D. M. Titterington, “General structure of regularization procedures in image reconstruction,” Astron. Astrophys. 144, 381–387 (1985).
  6. J. Idier, ed., Approche Bayésienne pour les Problèmes Inverses (Hermès, 2001).
  7. G. Demoment, “Image reconstruction and restoration: overview of common estimation structures and problems,” IEEE Trans. Acoust., Speech, Signal Process. 37, 2024–2036 (1989). [CrossRef]
  8. W. Press, B. Flannery, S. Teukolsky, W. Vetterling, Numerical Recipes in C (Cambridge U. Press, 1988).
  9. A. Lannes, “Weak-phase imaging in optical interferometry,” J. Opt. Soc. Am. A 15, 811–824 (1998). [CrossRef]
  10. P. J. V. Garcia, S. Cabrit, J. Ferreira, L. Binette, “Atomic T Tauri disk winds heated by ambipolar diffusion. II. Observational tests,” Astron. Astrophys. 377, 609–616 (2001). [CrossRef]
  11. J.-M. Conan, L. M. Mugnier, T. Fusco, V. Michau, G. Rousset, “Myopic deconvolution of adaptive optics images using object and point spread function power spectra,” Appl. Opt. 37, 4614–4622 (1998). [CrossRef]
  12. E. Thiébaut, “Optimization issues in blind deconvolution algorithms,” in Astronomical Data Analysis II, J.-L. Starck and F. D. Murtagh, eds., Proc. SPIE4847, 174–183 (2002).
  13. G. Le Besnerais, “Méthode du maximum d’entropie sur la moyenne, critères de reconstruction d’image et synthèse d’ouverture en radio-astronomie,” Thèse de doctorat (Université de Paris-Sud, Orsay, 1993).
  14. S. C. Meimon, L. M. Mugnier, G. Le Besnerais, “A novel method of reconstruction for weak-phase optical interferometry,” in New Frontiers in Stellar Interferometry, W. A. Traub, ed., Proc. SPIE5491, 909–919 (2004).

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