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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: Franco Gori
  • Vol. 29, Iss. 11 — Nov. 1, 2012
  • pp: 2263–2271

Point-spread function reconstruction in ground-based astronomy by l1-lp model

Raymond H. Chan, Xiaoming Yuan, and Wenxing Zhang  »View Author Affiliations


JOSA A, Vol. 29, Issue 11, pp. 2263-2271 (2012)
http://dx.doi.org/10.1364/JOSAA.29.002263


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Abstract

In ground-based astronomy, images of objects in outer space are acquired via ground-based telescopes. However, the imaging system is generally interfered by atmospheric turbulence, and hence images so acquired are blurred with unknown point-spread function (PSF). To restore the observed images, the wavefront of light at the telescope’s aperture is utilized to derive the PSF. A model with the Tikhonov regularization has been proposed to find the high-resolution phase gradients by solving a least-squares system. Here we propose the l 1 - l p ( p = 1 , 2) model for reconstructing the phase gradients. This model can provide sharper edges in the gradients while removing noise. The minimization models can easily be solved by the Douglas–Rachford alternating direction method of a multiplier, and the convergence rate is readily established. Numerical results are given to illustrate that the model can give better phase gradients and hence a more accurate PSF. As a result, the restored images are much more accurate when compared to the traditional Tikhonov regularization model.

© 2012 Optical Society of America

OCIS Codes
(100.1830) Image processing : Deconvolution
(100.3020) Image processing : Image reconstruction-restoration
(100.5070) Image processing : Phase retrieval
(110.4155) Imaging systems : Multiframe image processing

ToC Category:
Imaging Systems

History
Original Manuscript: June 4, 2012
Revised Manuscript: August 22, 2012
Manuscript Accepted: September 12, 2012
Published: October 9, 2012

Citation
Raymond H. Chan, Xiaoming Yuan, and Wenxing Zhang, "Point-spread function reconstruction in ground-based astronomy by l1-lp model," J. Opt. Soc. Am. A 29, 2263-2271 (2012)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-29-11-2263

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