Optical Review

, Volume 24, Issue 3, pp 278–290 | Cite as

Parametric blur estimation for blind restoration of atmospherically degraded images: Class G

  • Weizhe Gao
  • Xi Zhao
  • Jianhua Zou
  • Yikang Yang
  • Rong Xu
  • Rongzhi Zhang
  • Xu Xuebin
Regular Paper


Iterative methods are typically utilized for blind image restoration (BIR); however, they are relatively slow, uncertain, and occasionally ill-behaved. This study presents a non-iterative algorithm to estimate the parameters of point spread functions (PSFs), particularly, Class G. We propose a curve model to approximate the normalized spectrum amplitude of the original image in accordance with the decay law of the natural image spectrum. The blur PSF is estimated by comparing the original image spectrum with the degraded one. Then, the image is restored by applying the estimated PSF and the Wiener filter. Experimental results demonstrate that the proposed algorithm can obtain a more accurate PSF and reduce ringing artifacts compared with the existing algorithms. The quality of the restored images is enhanced significantly.


Blind image restoration Point spread function estimation Atmospheric turbulence Power law Ringing artifacts 



The authors would like to thank Goldstein for sharing his code of the work. This work is funded by the National Natural Science Foundation of China (61303121), the Ministry of Education & China Mobile Joint Research Fund Program (MCM20160302), the Zhongxing Research Grant (3212000210), the National Key Research and Development of China (2016YFB0501300, 2016YFB0501301), and the Major Science and Technology Foundation in Guangdong Province of China (No. 2015B010104002).


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Copyright information

© The Optical Society of Japan 2017

Authors and Affiliations

  • Weizhe Gao
    • 1
  • Xi Zhao
    • 2
    • 4
  • Jianhua Zou
    • 1
    • 4
  • Yikang Yang
    • 1
  • Rong Xu
    • 3
  • Rongzhi Zhang
    • 3
  • Xu Xuebin
    • 4
  1. 1.Systems Engineering InstituteXi’an Jiaotong UniversityXi’anChina
  2. 2.School of ManagementXi’anChina
  3. 3.State Key Laboratory of Astronautic DynamicsXi’an Satellite Control CenterXi’anChina
  4. 4.Guangdong Shunde Xi’an Jiaotong University AcademyFoshanChina

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