期刊文献+

各向异性扩散方程和一种图像放大方法 被引量:5

IMAGE ENLARGEMENT USING ANISOTROPIC DIFFUSION EQUATION
下载PDF
导出
摘要 小波的多分辨分析和变分方法相结合,提出一个图像平滑和放大同时实现的正则化模型.主要思想是把原图像作为放大图像的小波子带,对正则化泛函模型求变分导出Euler-Lagrange方程.图像放大和平滑同时实现.利用可加算子分裂(AOS)格式求非线性扩散方程的数值解.最后数值计算的实例说明对图像放大和平滑的有效性.
出处 《南京大学学报(数学半年刊)》 CAS 2005年第1期153-160,共8页 Journal of Nanjing University(Mathematical Biquarterly)
  • 相关文献

参考文献10

  • 1Alvarez L, Lions P L and Morel J M. Image Selective Smoothing and Edge Detection by Nonlinear Diffusion. SIAM J. Num. Anal, 1992, 29: 845-866.
  • 2Rudin L, Osher Sand Fatemi E. Nonlinear Total Variation Based Noise Removal Algorithms. Physica D,1992, 60: 259-268.
  • 3Vese L. A Study in the BV Space of a Denoising-Dcblurring Variational Problem. Appl. Math. Optim, 2001,44: 131-161.
  • 4Scherzer O and Weickert J. Relations Between Regularization and Diffusion Filtering. J. Math. imaging and vision,2000,12: 43-63.
  • 5Perona P and Malik J. Scale-Space and Edge Detection Using Anisotropic Diffusion. IEEE Trans.Pattern Anal. Machine Intell. 1990,12(7): 629-639.
  • 6Black M, Sapiro G, Marimont D and Heeger D. Robust Anisotropic Diffusion. IEEE Trans. on Image Proc. 1998, 7(3): 421-432.
  • 7Chambolle A and Lions A L. Image Recovery Via Total Variation Minimization and Related Problems. Numerische Mathematik, 1997,76: 167-188.
  • 8Cohen R. Daubechies I and Vial P. Wavelets on the Interval and Fast Wavelet Transforms. Appliedand Comput. Harmonic Anal.1993,1:54-81.
  • 9Mallat S. A Theory for Multiresolution Signal Decomposition : The Wavelet Representation. IEEE Trans. Pattern Anal. Machine Intell,1989,11: 674-693.
  • 10Weickert J, Ter Haar B and Romenynd Viergever M. Efficient and Reliable Schemes for Nonlinear Diffusion Filtering. IEEE Trans. on Image Processing,1998,7: 398-410.

同被引文献49

  • 1孙勇.基于分形码技术的医学图像放大法[J].中国医学装备,2005,2(8):35-37. 被引量:1
  • 2谢美华,王正明.基于边缘定向扩散的图像增强方法[J].光子学报,2005,34(9):1420-1424. 被引量:7
  • 3朱宁,吴静,王忠谦.图像放大的偏微分方程方法[J].计算机辅助设计与图形学学报,2005,17(9):1941-1945. 被引量:49
  • 4刘卜,屈有山,冯桂兰,杨秀芳,相里斌.小波双线性插值迭代算法应用于光学遥感图像[J].光子学报,2006,35(3):468-472. 被引量:22
  • 5BATTIATO S, GALLO G,STANCO F. Smart interpolation by anisotropic diffusion[C]. IEEE Int Conf Image Analysis and Processing, Mantova, 2003,12 : 572- 577.
  • 6RUDIN L, OSHER S, FATEMI E. Nolinear total variation based noise removal algorithms[J]. Physica D, 1992,60 : 259- 268.
  • 7PERONA P, MALIK J. Scale-space and edge detection using anisotropie diffusion[J]. IEEE Transactions on PAMI , 1992, 14(8): 629-639.
  • 8CANNY J. A computational approach to edge detection[J]. IEEE Transactions on Pattern Analysis and Machine Intelligence, 1986 ,PAMI-8(6) : 679-698.
  • 9WEICKERT J. Anisotropic diffusion in image processing[D]. Kaiserslautern : University of Kaiserslautern, 1996.
  • 10GILIBOA G, ZEEVI Y Y, SOCHEN N A. Forward and backward diffusion processes for adaptive image enhancement denoising[J]. IEEE Transaction on hnage Processing, 2002, 11(7) : 689-703.

引证文献5

二级引证文献16

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部