Smoothing Impulsive Noise Using Nonlinear Diffusion Filtering

A new anisotropic diffusion-filtering scheme to smooth images with heavy-tailed or binary noise types similar to salt&pepper noise is presented. The proposed scheme estimates edge gradient from an image that is smoothed or ”regularized” with a median filter. Its performance was demonstrated on synthetic images that were corrupted by Gaussian, salt&pepper and Weibull noises, and actual medical images. The visual and quantitative evaluation of the scheme demonstrated comparable or better performance.

[1]  P. Cutler,et al.  Local threshold for segmented attenuation correction of PET imaging of the thorax , 1993 .

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

[3]  P. Lions,et al.  Image selective smoothing and edge detection by nonlinear diffusion. II , 1992 .

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

[5]  Max A. Viergever,et al.  Efficient and reliable schemes for nonlinear diffusion filtering , 1998, IEEE Trans. Image Process..

[6]  Alan C. Bovik,et al.  Streaking in median filtered images , 1987, IEEE Trans. Acoust. Speech Signal Process..

[7]  G. L. Brownell,et al.  Estimation of the Local Statistical Noise in Emission Computed Tomography , 1982, IEEE Transactions on Medical Imaging.

[8]  René A. Carmona,et al.  Adaptive smoothing respecting feature directions , 1998, IEEE Trans. Image Process..

[9]  Niklas Nordström,et al.  Biased anisotropic diffusion: a unified regularization and diffusion approach to edge detection , 1990, Image Vis. Comput..

[10]  Mikio Yamamoto,et al.  Quad-Detector Arrangement and Sampling Characteristics in Rotary Positron Tomography: POSITOLOGICA II , 1982 .

[11]  G. Wise,et al.  A theoretical analysis of the properties of median filters , 1981 .

[12]  Joachim Weickert,et al.  Anisotropic diffusion in image processing , 1996 .

[13]  D. Luo,et al.  Local geometry variable conductance diffusion for post-reconstruction filtering , 1993 .

[14]  Ross T. Whitaker,et al.  A multi-scale approach to nonuniform diffusion , 1993 .

[15]  John F. Canny,et al.  A Computational Approach to Edge Detection , 1986, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[16]  J. Morel,et al.  Partial differential equations and image iterative filtering , 1997 .

[17]  J. M. Ollinger,et al.  Positron Emission Tomography , 2018, Handbook of Small Animal Imaging.

[18]  Linda G. Shapiro,et al.  Computer and Robot Vision , 1991 .

[19]  David A. H. Jacobs,et al.  The State of the Art in Numerical Analysis. , 1978 .