Abstract:Perona-Malik (P-M) model is a classical anisotropic diffusion denoising model, but it is not able to preserve the important details effectively such as the texture of the image. To address this problem, an improved P-M model based on local entropy is proposed. The diffusion coefficient of the model not only depends on the image gradient, but also depends on the local region information described by local entropy. The experimental results show that the proposed model removes noises effectively, preserves the boundaries better, and maintains important details of the image well.
赵德,何传江,陈强. 结合局部熵的各向异性扩散模型[J]. 模式识别与人工智能, 2012, 25(4): 642-647.
ZHAO De, HE Chuan-Jiang, CHEN Qiang. Anisotropic Diffusion Model Combined with Local Entropy. , 2012, 25(4): 642-647.
[1] Perona P,Malik J.Scale-Space and Edge Detection Using Anisotropic Diffusion.IEEE Trans on Pattern Analysis and Machine Intelligence,1990,12(7): 629-639 [2] Zhu Lixin,Ouyang Xiaoli,Xia Deshen.Fingerprint Image Enhancement by Pseudo-Linear Directional Diffusion PDE.Pattern Recognition and Artificial Intelligence,2006,19(6): 806-811(in Chinese) (朱立新,欧阳晓丽,夏德深.基于伪线性方向扩散方程的指纹图像增强.模式识别与人工智能,2006,19(6): 806-811) [3] Black M J,Sapiro G,Marimont D H.Robust Anisotropic Diffusion.IEEE Trans on Image Processing,1998,7(3): 421-432 [4] Chao S M,Tsai D M.Astronomical Image Restoration Using an Improved Anisotropic Diffusion.Pattern Recognition Letters,2006,27(5): 335-344 [5] Chao S M,Tsai D M.Anisotropic Diffusion with Generalized Diffusion Coefficient Function for Defect Detection in Low-Contrast Surface Images.Pattern Recognition,2010,43(5): 1917-1931 [6] Alvarez L,Lion P L,Morel J M.Image Selective Smoothing and Edge Detection by Nonlinear DiffusionⅡ.SIAM Journal on Numerical Analysis,1992,29(3): 845-866 [7] Catte F,Lion P L,Morel J M,et al.Image Selective Smoothing and Edge Detection by Nonlinear Diffusion.SIAM Journal on Numerical Analysis,1992,29(1): 182-193 [8] Weickert J.Anisotropic Diffusion in Image Processing.Stuttgart,Germany: Teubner-Verlag,1998 [9] Gilboa G,Sochen N,Zeevi Y.Forward-and-Backward Diffusion Processes for Adaptive Image Enhancement and Denoising.IEEE Trans on Image Process,2002,11(7): 689-703 [10] Chao S M,Tsai D M.An Improved Anisotropic Diffusion Model for Detail-and Edge-Preserving Smoothing.Pattern Recognition Letters,2010,31(13): 2012-2023 [11] Pun T.A New Method for Gray-Level Picture Thresholding Using the Entropy of the Histogram.Signal Process,1980,2(3): 223-237