A Mixture Curvature Flow Model for Image Noise Removal
WANG HongYuan1, SHI ChengXian1,2, XIA DeShen2
1.Department of Computer, Jingsu Polytechnic University, Changzhou 213164 2.Department of Computer, Nanjing University of Science and Technology, Nanjing 210094
Abstract:Image denoise is a preliminary process in image processing with PDE based approach being a hot topic in this field in recent years. Through analyzing the performance of curve evolution equation with the theory of geometry and anisotropic diffusion, a improved curve evolution modelmixture curvature flow model for image noise removal is proposed in this paper. To improve performance, edge information is introduced and a new geometry flow is constructed in this model. The experimental results show the model has advantages over other filterings in image noise removal.
王洪元,石澄贤,夏德深. 一种混合曲率流图像除噪方法[J]. 模式识别与人工智能, 2006, 19(3): 422-427.
WANG HongYuan, SHI ChengXian, XIA DeShen. A Mixture Curvature Flow Model for Image Noise Removal. , 2006, 19(3): 422-427.
[1] Zhang Y J. Image Engineering-Image Processing and Analysis. Beijing, China: Tsinghua University Press,1999 (in Chinese) (章毓晋.图像工程——图像处理和分析.北京:清华大学出版社, 1999) [2] Catte F, Alvarez L, Lions P L, Morel J M, Coll T. Image Selective Smoothing and Edge Detection by Nonlinear Diffusion (Ⅱ). SIAM Journal of Numerical Analysis, 1992, 29(3): 845-866 [3] Gage M. Curve Shortening Makes Convex Curves Circular. Inventiones Mathematica, 1984, 76(2): 357-364 [4] 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 [5] Gil D, Radeva P. Shape Restoration via a Regularized Curvature Flow. Journal of Mathematical Imaging and Vision, 2004, 21(3): 205-223 [6] Guichard F, Morel J M. A Note on Two Classical Enhancement Filters and Their Associated PDE’s. International Journal of Computer Vision, 2003, 52 (2-3): 153-160 [7] Sarti A, de Solorzano C O, Lockett S, Malladi R. A Geometric Model for 3D Confocal Microscope Image Analysis. IEEE Trans on Biomedical Engineering, 2000, 47(12): 1600-1609 [8] Malladi R, Sethian J A. Image Processing: Flows under Min/Max Curvature and Mean Curvature. Graphical Models and Image Processing, 1996, 58(2): 127-141 [9] Malladi R, Sethian J A. A Unified Approach to Noise Removal, Image Enhancement and Shape Recovery. IEEE Trans on Image Processing, 1996, 5(11): 1554-1568 [10] Osher S J, Sethian J A. Fronts Propagation with Curvature Dependent Speed: Algorithms Based on Hamilton-Jacobi Formulation. Journal of Computational Physics, 1988, 79(1): 12-49