RDEPS: A Combined Reaction-Diffusion Equation and Photometric Similarity Filter for Optical Image Restoration

  • Xueqing ZhaoEmail author
  • Pavlos Mavridis
  • Tobias Schreck
  • Arjan Kuijper
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 10073)


Restoration of optical images degraded by atmospheric turbulence and various types of noise is still an open problem. In this paper, we propose an optical image restoration method based on a Reaction-Diffusion Equation and Photometric Similarity (RDEPS). We exploit photometric similarity and geometric closeness of the optical image by combining a photometric similarity function and a appropriately defined reaction-diffusion equation. Our resulting RDEPS filter is used to restore images degraded by atmospheric turbulence and noise, including Gaussian noise and impulse noise. Extensive experimental results show that our method outperforms other recently developed methods in terms of PSNR and SSIM. Moreover, the computational efficiency analysis shows that our RDEPS provides efficient restoration of optical images.



This work supported by Doctor Scientific Research Foundation, Xi’an Polytechnic University, the Special Scientific Research Project of Education Department of Shaanxi Provincial Government (No. 16JK1328), and China Scholarship Council (CSC) Fund.


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Copyright information

© Springer International Publishing AG 2016

Authors and Affiliations

  • Xueqing Zhao
    • 1
    • 2
    Email author
  • Pavlos Mavridis
    • 2
  • Tobias Schreck
    • 2
  • Arjan Kuijper
    • 3
    • 4
  1. 1.School of Computer ScienceXi’an Polytechnic UniversityXi’anChina
  2. 2.Institute for Computer Graphics and Knowledge VisualizationGraz University of TechnologyGrazAustria
  3. 3.Fraunhofer IGDDarmstadtGermany
  4. 4.Technische Universität DarmstadtDarmstadtGermany

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