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|標題:||A novel PDE based image restoration: Convection-diffusion equation for image denoising||作者:||Shih, Y.
|關鍵字:||Image denoising;Edge detection;Compression;Streamline diffusion;method;Adaptive finite element;Convection-diffusion;anisotropic diffusion;nonlinear diffusion;schemes||Project:||Journal of Computational and Applied Mathematics||期刊/報告no：:||Journal of Computational and Applied Mathematics, Volume 231, Issue 2, Page(s) 771-779.||摘要:||
In this paper we present a convection-diffusion equation for processing image denoising, edge preservation and compression. We compare it with a popular nonlinear diffusion model which has been widely implemented in image denoising for Gaussian white noise. Here we show that this convection-diffusion model effectively removes noise, especially for the mixture of Gaussian and salt-and-pepper noises. We propose the modified streamline diffusion method [Y. Shih, H.C. Elman, Modified streamline diffusion schemes for convection-diffusion problems, Comput. Methods Appl. Mech. Eng, 1998.] for the discretization of this convection-diffusion model to prevent internal layers because of the discontinuities while using the coarsening algorithm for the image compression. Numerical experiments have shown that our convection-diffusion model for removing both Gaussian and salt-and-pepper noises, efficiently and reliably preserves edges quite satisfactorily. (C) 2009 Elsevier B.V. All rights reserved.
|Appears in Collections:||應用數學系所|
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