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Variational Image Denoising Approach with Diffusion Porous Media Flow

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  • Tudor Barbu

Abstract

A novel PDE-based image denoising approach is proposed in this paper. One designs here a nonlinear filter for image noise reduction based on the diffusion flow generated by the porous media equation , where is a nonlinear continuous function of the form , . With respect to standard 2D Gaussian smoothing and some nonlinear PDE-based filters, this one is more efficient to remove noise from degraded images and also to reduce “staircasing†effects and preserve the image edges.

Suggested Citation

  • Tudor Barbu, 2013. "Variational Image Denoising Approach with Diffusion Porous Media Flow," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-8, January.
    • Handle: RePEc:hin:jnlaaa:856876
    DOI: 10.1155/2013/856876
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    1. Soares, Nielson & Aguiar, Eduardo Pestana de & Souza, Amanda Campos & Goliatt, Leonardo, 2021. "Unsupervised machine learning techniques to prevent faults in railroad switch machines," International Journal of Critical Infrastructure Protection, Elsevier, vol. 33(C).

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