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- Publisher Website: 10.1364/JOSAA.29.002263
- Scopus: eid_2-s2.0-84869849172
- WOS: WOS:000310590500003
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Article: Point-spread function reconstruction in ground-based astronomy by l <sup>1</sup>-l<sup>p</sup> model
Title | Point-spread function reconstruction in ground-based astronomy by l <sup>1</sup>-l<sup>p</sup> model |
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Authors | |
Issue Date | 2012 |
Citation | Journal of the Optical Society of America A: Optics and Image Science, and Vision, 2012, v. 29, n. 11, p. 2263-2271 How to Cite? |
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 < sup > 1 < /sup > -l < sup > p < /sup > (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 1084-7529/12/112263-09$15.00/0. |
Persistent Identifier | http://hdl.handle.net/10722/251015 |
ISSN | 2023 Impact Factor: 1.4 2023 SCImago Journal Rankings: 0.459 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Chan, Raymond H. | - |
dc.contributor.author | Yuan, Xiaoming | - |
dc.contributor.author | Zhang, Wenxing | - |
dc.date.accessioned | 2018-02-01T01:54:20Z | - |
dc.date.available | 2018-02-01T01:54:20Z | - |
dc.date.issued | 2012 | - |
dc.identifier.citation | Journal of the Optical Society of America A: Optics and Image Science, and Vision, 2012, v. 29, n. 11, p. 2263-2271 | - |
dc.identifier.issn | 1084-7529 | - |
dc.identifier.uri | http://hdl.handle.net/10722/251015 | - |
dc.description.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 < sup > 1 < /sup > -l < sup > p < /sup > (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 1084-7529/12/112263-09$15.00/0. | - |
dc.language | eng | - |
dc.relation.ispartof | Journal of the Optical Society of America A: Optics and Image Science, and Vision | - |
dc.title | Point-spread function reconstruction in ground-based astronomy by l <sup>1</sup>-l<sup>p</sup> model | - |
dc.type | Article | - |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1364/JOSAA.29.002263 | - |
dc.identifier.scopus | eid_2-s2.0-84869849172 | - |
dc.identifier.volume | 29 | - |
dc.identifier.issue | 11 | - |
dc.identifier.spage | 2263 | - |
dc.identifier.epage | 2271 | - |
dc.identifier.eissn | 1520-8532 | - |
dc.identifier.isi | WOS:000310590500003 | - |
dc.identifier.issnl | 1084-7529 | - |