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...

四阶各向异性扩散方程在图像放大中的应用

DOI: 10.11834/jig.20131006

Keywords: 各向异性扩散,块状效应,锯齿化效应,逆向扩散

Full-Text   Cite this paper   Add to My Lib

Abstract:

分析了进行图像放大时各向异性偏微分方程优于各向同性偏微分方程,分析了不同四阶模型的扩散方向。为了消除低阶偏微分方程在处理图像中出现的块状效应的影响,同时保证方程为各向异性扩散,构造了两个各向异性的四阶偏微分方程,并且分别从数据和放大图像效果两方面来说明本文模型优于其他4个模型。

References

[1]  Wei B G,Hui W H.Image magnification by adaptive coupling of oriented diffusion and shock filter[J].Journal of Image and Graphics,2011,16(4):533-537.[卫保国, 惠卫华.自适应耦合方向扩散和冲击滤波的图像放大[J]. 中国图象图形学报, 2011,16(4):533-537.]
[2]  Jiang D H,Xu G B,Dongye C L.Variational image zooming based on nonlocal total variation[J].Journal of Computer Applications,2012,32(3):725-728.[姜东焕,徐光宝,东野长磊. 非局部的变分正则化图像放大算法[J]. 计算机应用,2012,32(3):725-728.]
[3]  Chambolle A. An algorithm for total varition minimization and applications[J].Journal of Mathematical Imaging and Vision, 2004,20(1/2):89-97.
[4]  You Y L, Xu W Y, Tannenbaum A, et al. Behavioral analysis of anisotropic diffusion in image processing[J]. IEEE Transactions on Image Processing, 1996, 5(11): 1539-1553.
[5]  Perona P, Malik J. Scale-space and edge detection using an isotropic diffusion[J]. IEEE Transactions on Pattern Analysis Machine Intelligent, 1990, 12( 7 ): 629-639.
[6]  You Y L, Kaveh M. Fourth-order partial differential equation for noise removal[J]. IEEE Transactions on Image Processing, 2000, 9(10): 1723-1730.
[7]  Lysaker M, Lundervold A, Tai X C. Noise removal using fourth-order partial differential equation with applications to medical magnetic resonance images in space and time[J]. IEEE Transactions on Image Processing, 2003, 12(12): 1579-1590.
[8]  Song J P,Gao R,Zhu F, et al.Image zooming algorithm based on partial differential equations technique[J].Journal of Image and Graphics,2009,1(14):82-87.[宋锦萍,高冉,朱方,等. PDE技术的图像放大模型[J]. 中国图象图形学报, 2009,1(14):82-87.]
[9]  Marquina A, Osher S. Explicit algorithms for a new time dependent model based on level set motion for nonlinear deblurring and noise removal[J]. SIAM Journal on Scientific Computing, 2000, 2(22): 387-405.
[10]  Hajiaboli M R. An anisotropic fourth-order diffusion filter for images noise removal[J]. International Journal of Computer Vision, 2011,92(2):177-191.
[11]  更多...
[12]  Carmona R A, Zhong S. Adaptive smoothing respecting feature directions[J]. IEEE Transactions on Image Processing, 1998, 7(3): 353-358.
[13]  Rudin L, Osher S, Fatemi E. Nolinear total variation based noise removal algorithms[J]. Physica D, 1992,(60):259-268.
[14]  Hou H S, Andrews H C. Cubic splines for image interpolation and digital filtering[J].IEEE Transaction on Acoustics, Speech, and Signal Processing, 1978,26(6):508-517.
[15]  Gong Y G,Wu X S. An adaptive image interpolation algorithm based on edge information[J]. Computer Applications and Software, 2009,26(4):225-227.[龚奕刚,吴锡生. 基于边缘信息的图像自适应插值算法[J]. 计算机应用于软件, 2009,26(4):225-227.]
[16]  Xia H H, Shen L, Feng J Q. A locally-adaptive nonlinear image zooming algorithm[J]. Journal of Computer-Aided Design & Computer Graphics, 2010,22(11):1849-1855.[夏海宏,沈笠,冯结青.局部自适应非线性图像放大算法[J].计算机辅助设计与图形学报. 2010,22(11):1849-1855.]
[17]  Zhou D W,Shen X L.Edge-directed bicubic color image interpolation[J].Acta Automatica Sinica,2012,38(4):525-530.[周登文,申晓留. 边导向的双三次彩色图像插值[J]. 自动化学报. 2012,38(4):525-530.]
[18]  Wamg D K,Hou Y Q,Peng J Y.Partial Differential Equation Method for Image Processing[M].Beijing:Science Press. 2008,110-111.[王大凯,侯榆青,彭进业. 图像处理的偏微分方程方法[M]. 北京:科学出版社,2008,110-111.]
[19]  Morse B S, Schwartzwald D. Image magnifycation using level-set reconstruction[C]//Proceedings of IEEE Conference on Computer Vision and Pattern Recognition. Kauai, Hawaii, USA: IEEE Press, 2001.
[20]  Zhu N,Wu J,Wang Z Q.Image zooming based on partial differential equations[J]. Journal of Computer-Aided Design & Computer Graphics, 2005,17(9):1941-1945.[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.]
[21]  Shao W Z,Wei Z H.Local geometry driven image magnification and super-resolution[J].Journal of Image and Graphics,2008,7(13):1235-1243.[邵文泽,韦志辉.局部几何结构驱动的图像插值放大及超分辨率复原[J].中国图象图形学报, 2008,7(13):1235-1243.]
[22]  Zhu X,Lei W J,Zhang S H,et al.Image zooming by combination of the curvature-driven and edge-stopping nonlinear diffusion[J]. Computer Science,2012,3(38):290-299.[祝轩,雷文娟,张申华,等. 曲率驱动与边缘停止相结合的图像放大[J]. 计算机科学,2012,3(38):290-299.]
[23]  Kim H, Cha Y, Kim S. Curvature interpolation method for image zooming[J].IEEE Transactions on Image Processing, 2011,20(7):1895-1903.

Full-Text

Contact Us

service@oalib.com

QQ:3279437679

WhatsApp +8615387084133