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

作者：Shi, Kehan; Zhang, Dazhi; Guo, Zhichang; Sun, Jiebao; Wu, Boying^*

来源：Neurocomputing, 2016, 173: 659-670.

DOI：10.1016/j.neucom.2015.08.012

• Impulse noise
• Mixed Gaussian impulse noise
• Noise indicator
• Nonlinear diffusion
• Regularized Perona-Malik diffusion

In this paper, a non-divergence diffusion equation consisting of an impulse noise indicator lambda and a regularized Perona-Malik (RPM) diffusion operator is proposed for the removal of impulse noise. The impulse noise indicator lambda 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.

• 出版日期2016-1-15
• 单位哈尔滨工业大学