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Nonlinear Fourth-Order Diffusion-Based Model for Image Denoising

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Soft Computing Applications (SOFA 2016)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 633))

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Abstract

An effective fourth-order PDE-based scheme for image restoration is proposed in this article. First a novel PDE variational model is described. Then, a nonlinear fourth-order diffusion model is obtained from it. A robust explicit numerical approximation scheme based on the finite-difference method and converging fast to the solution of this PDE is then developed for this differential model. The proposed diffusion restoration scheme provide an effective noise removal that also overcome the unintended effects, as resulting from the performed experiments and method comparison.

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Acknowledgement

The research work described here was supported from the project PN-II-ID-PCE-2011-3-0027, which is financed by the Romanian Minister of Education and Technology.

We also acknowledge the research support of the Institute of Computer Science of the Romanian Academy, Iaşi, ROMANIA.

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Authors and Affiliations

  1. Institute of Computer Science of the Romanian Academy, Iasi, Romania

    Tudor Barbu

Authors
  1. Tudor Barbu
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Correspondence to Tudor Barbu .

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Editors and Affiliations

  1. Department of Automatics and Applied Informatics, Faculty of Engineering, Aurel Vlaicu University of Arad, Arad, Romania

    Valentina Emilia Balas

  2. University of Canberra, Canberra, Aust Capital Terr, Australia

    Lakhmi C. Jain

  3. Department of Automatics and Applied Informatics, Faculty of Engineering, Aurel Vlaicu University of Arad, Arad, Romania

    Marius Mircea Balas

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Barbu, T. (2018). Nonlinear Fourth-Order Diffusion-Based Model for Image Denoising. In: Balas, V., Jain, L., Balas, M. (eds) Soft Computing Applications. SOFA 2016. Advances in Intelligent Systems and Computing, vol 633. Springer, Cham. https://doi.org/10.1007/978-3-319-62521-8_36

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  • DOI: https://doi.org/10.1007/978-3-319-62521-8_36

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-62520-1

  • Online ISBN: 978-3-319-62521-8

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