Point-spread function reconstruction in ground-based astronomy by l 1-lp model

Raymond H. CHAN, Xiaoming YUAN*, Wenxing ZHANG

*Corresponding author for this work

Research output: Journal PublicationsJournal Article (refereed)peer-review

10 Citations (Scopus)


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 l1-lp (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.

Original languageEnglish
Pages (from-to)2263-2271
Number of pages9
JournalJournal of the Optical Society of America A: Optics and Image Science, and Vision
Issue number11
Early online date9 Oct 2012
Publication statusPublished - Nov 2012
Externally publishedYes


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