A non-divergence diffusion equation for removing impulse noise and mixed Gaussian impulse noise

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• 作者：Kehan ShiAuthor Vitae ; Dazhi ZhangAuthor Vitae ; Zhichang GuoAuthor Vitae ; Jiebao SunAuthor Vitae ; Boying Wu ; ^{mathwby@163.com" class="auth_mail" title="E-mail the corresponding author}Author Vitae
• 关键词：Impulse noise ; Mixed Gaussian impulse noise ; Noise indicator ; Nonlinear diffusion ; Regularized Perona&ndash ; Malik diffusion
• 刊名：Neurocomputing
• 出版年：2016
• 出版时间：15 January 2016
• 年：2016
• 卷：173
• 期：part_P3
• 页码：659-670
• 全文大小：3401 K

文摘

In this paper, a non-divergence diffusion equation consisting of an impulse noise indicator λ and a regularized Perona–Malik (RPM) diffusion operator is proposed for the removal of impulse noise. The impulse noise indicator λ is designed to keep values of noise-free pixels unaltered while the Gaussian kernel in the RPM operator makes the proposed equation insensitive to impulse noise. As a result, the proposed equation succeeds in noise suppression as well as edge preserving and shows better performance than state-of-the-art PDE-based methods and variational regularization methods. In addition, the numerical solution of the proposed equation has a certain asymptotic behavior: it converges to the solution we are interested in automatically. This property avoids the problem of choosing a stopping time in numerical experiments and allows us to continue removing impulse noise and mixed Gaussian impulse noise by using the proposed equation.