Image deconvolution using homomorphic technique

  • M. Y. Abbass
  • HyungWon Kim
  • Safey A. Abdelwahab
  • S. S. Haggag
  • El-Sayed M. El-Rabaie
  • Moawad I. Dessouky
  • Fathi E. Abd El-Samie
Original Paper


Blind image deconvolution is a challenging issue in image processing. A solution to this problem is increasingly required in many applications. In this study, we develop a novel computational approach for solving the blind deconvolution problem by integrating the utilities of homomorphic domain and outlier handling methods in blurred images. Most of the existing methods for blind image deconvolution employ complex algorithms, and thus can incur excessive overhead in computing the blur kernel. In contrast, our work decomposes the blurred image into two main components using the homomorphic step. It is known that the homomorphic domain can be imposed on images by the logarithm operation that separates the image into the illumination and reflectance parts. The reflectance part contains the most prominent details of the image, while the illumination part contains mostly redundant information of the image. By using the reflectance part in the proposed blind deconvolution approach, we were able to achieve significant improvement in performance. The proposed approach outperforms the state-of-the-art methods. It is, therefore, an effective approach for blind image deconvolution with low complexity.


Homomorphic Blind deconvolution Kernel estimation Motion blur Deblurring 



This work was supported by IITP grant through the Korean Government, development of wide area driving environment awareness and cooperative driving technology which are based on V2X wireless communication under grant R7117-19-0164, and it was also supported by the Center for Integrated Smart Sensors funded by the Ministry of Science of Korean Government, ICT and Future Planning as Global Frontier Project (CISS-2016). The corresponding authors are M. Y. Abbass and HyungWon Kim.

Supplementary material

11760_2018_1399_MOESM1_ESM.doc (15 mb)
Supplementary material 1 (DOC 15330 kb)


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Copyright information

© Springer-Verlag London Ltd., part of Springer Nature 2018

Authors and Affiliations

  • M. Y. Abbass
    • 1
    • 2
  • HyungWon Kim
    • 1
  • Safey A. Abdelwahab
    • 2
  • S. S. Haggag
    • 3
  • El-Sayed M. El-Rabaie
    • 4
  • Moawad I. Dessouky
    • 4
  • Fathi E. Abd El-Samie
    • 4
  1. 1.Department of Electronic Engineering, College of Electrical and Computer EngineeringChungbuk National UniversityCheongju-CitySouth Korea
  2. 2.Engineering Department, Nuclear Research CenterAtomic Energy AuthorityCairoEgypt
  3. 3.Egypt Second Reactor, Nuclear Research CenterAtomic Energy AuthorityCairoEgypt
  4. 4.Department of Electronics and Electrical Communications, Faculty of Electronic EngineeringMenoufia UniversityMenoufEgypt

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