Please use this identifier to cite or link to this item:
標題: 使用自適應非等向性擴散方程式去除影像雜訊
Adaptive Anisotropic Diffusion Equation for Image Denoising
作者: 朱家敏
Chu, Chia-Min
關鍵字: nonlinear diffusion equation;擴散方程式;denoising;去除影像雜訊
出版社: 應用數學系所
引用: [1] A.C. Bovik, J.D. Gibson, A. Bovik, Handbook of Image and Video Processing, Academic Press, 2000. [2] F. Catte, P.L. Lions, J.M. Morel, and T. Coll, Image selective smoothing and edge detection by nonlinear diffusion, IEEE Trans. Pattern Anal. Machine Intell., 29 (1992), pp. 182-193. [3] G.-H. Cottet and L. Germain, Image Processing through Reaction Combined with Nonlinear Diffusion, Mathematics of Computation, 61 (1993), pp. 659-673. [4] R. C. Gonzalez and R. E. Woods, Digital Image Processing, Prentice Hall, 2002. [5] J. Jacur and K. Mikula, Solution of nonlinear diffusion appearing in image smoothing and edge detection, Applied Numerical Mathematics, 17 (1996), pp. 47-59. [6] D. Marr and E. Hildreth, Theory of edge detection, Proc. Roy. Soc. London Ser. B,(1980), pp. 187-217. [7] P. Perona and J. Malik, Scale-space and edge detection using anisotropic diffusion, IEEE Trans. Pattern Anal. Machine Intell, 12 (1990), pp. 629-639. [8] N. Sae-bae and S. Udomhunsakul, Adaptive Block-Based Singular Value Decomposition Filtering,4th International Conference on Computer Graphics, Imaging and Visualization [CGIV 2007](2007), 298-30. [9] Y. Shih , C. Rei and H. Wang, A novel PDE based image restoration: convection-diffusion equation for image denoising, Tech. report 07-1, Department of Applied Mathematics, National Chung Hsing University, 2007. [10] Y. Shih and H.C. Elman, Modified streamline diffusion schemes for convection-diffusion problems, Computers Math. Applic., 29 (1998), pp. 45-63. [11] J. L. Troutman, Variational Calculus with Elementary Convexity, Springer- Verlag, New York, 1983. [12] A. P. Witkin, Scale-space filtering, in Proceedings of IJCAI, Karlsruhe, (1983), pp. 1019-1021. [13] A. Rosenfeld and M. Thurston, Edge and curve detection for vtsual scene analysts, IEEE Trans. Compur., C-20 (1971), pp. 562-569. [14] M. Nitzberg and T. Shiota, Nonlinear image smoothing with edge and corner enhancement, Tech. report 90-2, Division of Applied Sciences, Hanard University, Cambridge, MA, 1990. [15] J. Weickert, Anisotropic Diffusion in Image Processing, Teubner Verlag, Stuttgart, 1996. [16] Yu-Li You, M. Kaveh, Wen-Yuan Xu, and A. Tannenbaum, Analysis and design of anisotropic diffusion for image processing, Department of Electrical Engineering, University of Minnesota, Minneapolis, MN 55455, 1994.

In this thesis, we present an adaptive correlation method for the image denoising and edge preservation. Several nonlinear diffusion filters have been widely implemented;
however, it is still very difficult to preserve the image edge and clean the noise simultaneously. We propose a new anisotropic diffusion filter and consider an
adaptive method that correlate a nonlinear diffusion filter with a linear low-pass filter
for the smoothing. In numerical experiments, we compare our proposed methods with some popular nonlinear diffusion models and the result show the promise of
the adaptive procedure removes the noisy and preserves the edge effectively.
其他識別: U0005-2307200814380800
Appears in Collections:應用數學系所

Show full item record

Google ScholarTM


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.