Journal
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
Volume 231, Issue 2, Pages 771-779Publisher
ELSEVIER
DOI: 10.1016/j.cam.2009.05.001
Keywords
Image denoising; Edge detection; Compression; Streamline diffusion method; Adaptive finite element; Convection-diffusion
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Funding
- National Science Council of Taiwan Government [NSC 95-2115-M-005-004-MY3]
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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.
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