Difference Curvature Driven Anisotropic Diffusion for Image Denoising Using Laplacian Kernel

Image noise removal forms a significant preliminary step in many machine vision tasks, such as object detection and pattern recognition. The original anisotropic diffusion denoising methods based on partial differential equation often suffer the staircase effect and the loss of edge details when the image contains a high level of noise. Because its controlling function is based on gradient, which is sensitive to noise. To alleviate this drawback, a novel anisotropic diffusion algorithm is proposed. Firstly, we present a new controlling function based on Laplacian kernel, then making use of the local analysis of an image, we propose a difference curvature driven to describe the intensity variations in images. Experimental results on several natural and medical images show that the new method has better performance in the staircase alleviation and details preserving than the other anisotropic diffusions.

[1]  Arvid Lundervold,et al.  Noise removal using fourth-order partial differential equation with applications to medical magnetic resonance images in space and time , 2003, IEEE Trans. Image Process..

[2]  Jitendra Malik,et al.  Scale-Space and Edge Detection Using Anisotropic Diffusion , 1990, IEEE Trans. Pattern Anal. Mach. Intell..

[3]  Suk-Ho Lee,et al.  Noise removal with Gauss curvature-driven diffusion , 2005, IEEE Transactions on Image Processing.

[4]  M. Omair Ahmad,et al.  An Edge-Adapting Laplacian Kernel For Nonlinear Diffusion Filters , 2012, IEEE Transactions on Image Processing.

[5]  Pheng-Ann Heng,et al.  Adaptive total variation denoising based on difference curvature , 2010, Image Vis. Comput..

[6]  Huaicheng Yan,et al.  Image denosing by curvature strength diffusion , 2009, 2009 International Conference on Information and Automation.

[7]  Jean-Michel Morel,et al.  A Review of Image Denoising Algorithms, with a New One , 2005, Multiscale Model. Simul..

[8]  D. Narmadha,et al.  A Survey on Image Denoising Techniques , 2012 .

[9]  Mostafa Kaveh,et al.  Fourth-order partial differential equations for noise removal , 2000, IEEE Trans. Image Process..

[10]  Wenyuan Xu,et al.  Behavioral analysis of anisotropic diffusion in image processing , 1996, IEEE Trans. Image Process..

[11]  Jerry D. Gibson,et al.  Handbook of Image and Video Processing , 2000 .

[12]  Andrew P. Witkin,et al.  Scale-Space Filtering , 1983, IJCAI.