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A Graph Spectral Approach for Restoring Images Corrupted by Shot-Noise

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Computer Vision and Image Processing (CVIP 2020)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 1376))

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Abstract

Image restoration is a fundamental problem in image processing. Usually, images gets deteriorated while storing or transmitting them. Image restoration is an ill-posed inverse problem, wherein one has to restore the original data with a priori information or assumption regarding the degradation model and its characteristics. The literature is too elaborate for various restorations under different assumptions on the degradation-architecture. This paper introduces a strategy based on graph spectral theory to restore images with non-local filters controlled by a loss function. The non-local similarity-based weight function controls the restoration process resulting in the preservation of local image features considerably well. The parameter controlled adaptive fidelity term helps to re-orient the diffusion to handle data correlated shot-noise following a Poisson distribution, which is pretty common in many medical and telescopic imaging applications. Experimental results are conforming to the fact that the proposed model performs well in restoring images of the different intensity distributions.

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Acknowledgements

The author Dr. Jidesh would like to thank Department of Atomic Energy, Govt. of India for providing financial support under Grant No: 02011/17/2020NBHM(RP)/R&DII/8073 for carrying out the research work.

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Authors and Affiliations

  1. Department of Mathematical and Computational Sciences, National Institute of Technology Karnataka, Mangalore, India

    P. Jidesh

  2. Indian Institute of Information Technology Kottayam, Pala, Kerala, India

    A. A. Bini

Authors
  1. P. Jidesh
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  2. A. A. Bini
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Corresponding author

Correspondence to P. Jidesh .

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Editors and Affiliations

  1. Indian Institute of Information Technology Allahabad, Prayagraj, India

    Satish Kumar Singh

  2. Indian Institute of Technology Roorkee, Roorkee, India

    Partha Roy

  3. Indian Institute of Technology Roorkee, Roorkee, India

    Balasubramanian Raman

  4. Indian Institute of Information Technology Allahabad, Prayagraj, India

    P. Nagabhushan

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Jidesh, P., Bini, A.A. (2021). A Graph Spectral Approach for Restoring Images Corrupted by Shot-Noise. In: Singh, S.K., Roy, P., Raman, B., Nagabhushan, P. (eds) Computer Vision and Image Processing. CVIP 2020. Communications in Computer and Information Science, vol 1376. Springer, Singapore. https://doi.org/10.1007/978-981-16-1086-8_32

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  • DOI: https://doi.org/10.1007/978-981-16-1086-8_32

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-16-1085-1

  • Online ISBN: 978-981-16-1086-8

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