全部 标题 作者
关键词 摘要

OALib Journal期刊
ISSN: 2333-9721
费用:99美元

查看量下载量

相关文章

更多...

Sobolev广义度量下的各向异性扩散模型

DOI: 10.16383/j.aas.2015.c140564, PP. 320-329

Keywords: 图像增强,图像扩散,偏微分方程,各向异性扩散,Sobolev空间

Full-Text   Cite this paper   Add to My Lib

Abstract:

?给出了Sobolev空间的一种广义度量,在该度量下提出了一个新的各向异性增强、扩散方程.广义度量中的变系数,较好地控制了方程的扩散行为,使得新模型不仅能有效增强图像的细节特征,而且能在噪声去除和边缘保护之间取得较好的平衡,同时给出了相应的隐式离散算法.仿真实验结果表明,新模型和算法是行之有效的.

References

[1]  Zhai Dong-Hai, Yu Jiang, Duan Wei-Xia, Xiao Jie, Li Fan. Improved image denoising algorithm using UK-flag shaped anisotropic diffusion model. Journal of Computer Applications, 2014, 34(5): 1494-1498(翟东海, 鱼江, 段维夏, 肖杰, 李帆. 米字型各向异性扩散模型的图像去噪算法. 计算机应用, 2014, 34(5): 1494-1498)
[2]  Witkin A P. Scale-space filtering. In: Proceedings of the 8th International Joint Conference on Artificial Intelligence. Karlsruhe, Germany: Morgan Kaufmann, 1983. 1019-1021
[3]  Witkin A P. Scale-space filtering: a new approach to multi-scale description. In: Proceedings of the 1984 IEEE International Conference on Acoustics, Speech, and Signal Processing. San Diego, USA: IEEE, 1984. 150-153
[4]  Perona P, Malik J. Scale-space and edge detection using anisotropic diffusion. IEEE Transactions on Pattern Analysis and Machine Intelligence, 1990, 12(7): 629-639
[5]  Calder J, Mansouri A, Yezzi A. Image sharpening via sobolev gradient flows. SIAM Journal on Imaging Sciences, 2010, 3(4): 981-1014
[6]  Calder J, Mansouri A. Anisotropic image sharpening via well-posed Sobolev gradient flows. SIAM Journal on Mathematical Analysis, 2011, 43(4): 1536-1556
[7]  Catté F, Lions P L, Morel J M, Coll T. Image selective smoothing and edge detection by nonlinear diffusion. SIAM Journal on Numerical Analysis, 1992, 29(1): 182-193
[8]  You Y L, Kaveh M. Fourth-order partial differential equations for noise removal. IEEE Transactions on Image Processing, 2000, 9(10): 1723-1730
[9]  Bai J, Feng X C. Fractional-order anisotropic diffusion for image denoising. IEEE Transactions on Image Processing, 2007, 16(10): 2492-2502
[10]  Osher S, Rudin L I. Feature-oriented image enhancement using shock filters. SIAM Journal on Numerical Analysis, 1990, 27(4): 919-940
[11]  Alvarez L, Mazorra L. Signal and image restoration using shock filters and anisotropic diffusion. SIAM Journal on Numerical Analysis, 1994, 31(2): 590-605
[12]  Terebes R, Borda M, Germain C, Lavialle O. A novel shock filter for image restoration and enhancement. In: Proceedings of the 20th European Signal Processing Conference. Bucharest, Romania: IEEE, 2012. 255-259
[13]  Xu Huan-Yu, Sun Quan-Sen, Chen Qiang, Luo Nan, Xia De-Shen. Blind image restoration using half Gaussian kernel based shock-diffusion filter. Acta Automatica Sinica, 2014, 40(6): 1166-1175(徐焕宇, 孙权森, 陈强, 罗楠, 夏德深. 使用半高斯核的冲击扩散滤波图像盲复原方法. 自动化学报, 2014, 40(6):1166-1175)
[14]  Magnier B, Xu H, Montesinos P. Half Gaussian kernels based shock filter for image deblurring and regularization. In: Proceedings of the 8th International Joint Conference on Computer Vision, Imaging and Computer Graphics Theory and Applications. Barcelone, France: Springer, 2013.
[15]  Gilboa G, Sochen N, Zeevi Y Y. Forward-and-backward diffusion processes for adaptive image enhancement and denoising. IEEE Transactions on Image Processing, 2002, 11(7): 689-703
[16]  Rudin L I, Osher S, Fatemi E. Nonlinear total variation based noise removal algorithms. Physica D, 1992, 60(1-4): 259-268
[17]  Ji X P, Zhang D Z, Guo Z C, Wu B Y. Image denoising via nonlinear hybrid diffusion. Mathematical Problems in Engineering, 2013, 2013, Article ID 890157
[18]  Zhang Shan-Qing, Zhang Kun-Long. Texture image segmentation model based on eigenvalues of structure tensor. Acta Electronica Sinica, 2013, 41(7): 1324-1328(张善卿, 张坤龙. 基于结构张量特征值的纹理图像分割模型. 电子学报, 2013, 41(7): 1324-1328)
[19]  Xiong Hui, Lai Jian-Huang. Equalized net diffusion model based on the anisotropy diffusion. Journal of Image and Graphics, 2013, 18(7): 731-737(熊辉, 赖剑煌. 各向异性的均衡化网状扩散模型. 中国图象图形学报, 2013, 18(7): 731-737)
[20]  Cai J F, Osher S, Shen Z W. Linearized Bregman iterations for compressed sensing. Mathematics of Computation, 2009, 78(267): 1515-1536
[21]  Wang Z, Bovik A C, Sheikh H R, Simoncelli E P. Image quality assessment: from error visibility to structural similarity. IEEE Transactions on Image Processing, 2004, 13(4): 600-612
[22]  Kazemi P, Danaila I. Sobolev gradients and image interpolation. SIAM Journal on Imaging Sciences, 2012, 5(2): 601- 624
[23]  Yang Xiu-Hong, Guo Bao-Long, Wu Xian-Xiang. Wavelet inpainting based on tensor diffusion. Acta Automatica Sinica, 2013, 39(7): 1071-1079(杨秀红, 郭宝龙, 吴宪祥. 基于张量扩散的小波域修复模型. 自动化学报, 2013, 39(7): 1071-1079)
[24]  Zhang Wen-Juan, Feng Xiang-Chu, Wang Xu-Dong. Mumford-Shah model based on weighted total generalized variation. Acta Automatica Sinica, 2012, 38(12): 1913- 1922(张文娟, 冯象初, 王旭东. 基于加权总广义变差的Mumford-Shah模型. 自动化学报, 2012, 38(12): 1913-1922)
[25]  Tang Li-Ming, Tian Xue-Quan, Huang Da-Rong, Wang Xiao-Feng. Image segmentation model combined with FCMS and variational level set. Acta Automatica Sinica, 2014, 40(6): 1233-1248(唐利明, 田学全, 黄大荣, 王晓峰. 结合FCMS与变分水平集的图像分割模型. 自动化学报, 2014, 40(6): 1233-1248)

Full-Text

Contact Us

service@oalib.com

QQ:3279437679

WhatsApp +8615387084133