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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • 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)

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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

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

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)

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