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2013 Variational Image Denoising Approach with Diffusion Porous Media Flow
Tudor Barbu
Abstr. Appl. Anal. 2013(SI17): 1-8 (2013). DOI: 10.1155/2013/856876


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 u / t = Δ β ( u ) , where β is a nonlinear continuous function of the form β ( u ) = λ u m , 0 < m < 1 . 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.


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Tudor Barbu. "Variational Image Denoising Approach with Diffusion Porous Media Flow." Abstr. Appl. Anal. 2013 (SI17) 1 - 8, 2013.


Published: 2013
First available in Project Euclid: 26 February 2014

zbMATH: 06161385
MathSciNet: MR3034878
Digital Object Identifier: 10.1155/2013/856876

Rights: Copyright © 2013 Hindawi

Vol.2013 • No. SI17 • 2013
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