Advanced Search
Volume 41 Issue 12
Dec.  2015
Turn off MathJax
Article Contents
Journal of Beijing University of Aeronautics and Astronautics  > 2015  >  41(12): 2335-2339.
ZHU Zimin, LIU Rongqiang, LIU Fenfen, et al. Analysis of image processing model based on pixels of solitary waves[J]. Journal of Beijing University of Aeronautics and Astronautics, 2015, 41(12): 2335-2339. doi: 10.13700/j.bh.1001-5965.2015.0009(in Chinese)
Citation: ZHU Zimin, LIU Rongqiang, LIU Fenfen, et al. Analysis of image processing model based on pixels of solitary waves[J]. Journal of Beijing University of Aeronautics and Astronautics, 2015, 41(12): 2335-2339. doi: 10.13700/j.bh.1001-5965.2015.0009(in Chinese)
shu

Analysis of image processing model based on pixels of solitary waves

doi: 10.13700/j.bh.1001-5965.2015.0009
  • 1.

    School of Mechatronics Engineering, Harbin Institute of Technology, Harbin 150001, China

  • 2. College of Mechanical and Electrical Engineering, Northeast Forestry University, Harbin 150040, China

  • Received Date: 05 Jan 2015
  • Rev Recd Date: 04 Mar 2015
  • Publish Date: 20 Dec 2015
    Abstract
  • Through the study on nonlinear effect of digital image pixel grid, the one-dimensional and two-dimensional time evolution equations model of nonlinear effect between pixels were established, the analysis of the equation model shows that the image was discrete in space, but on the structure of mutual information was a continuous differential difference equations, and the equation had analytic solitary wave solutions. The model was used to study the interaction of image pixels between two solitary waves, pixel solitary wave of two solitary wave solutions were given, and used the interaction of solitary waves of the pixel to study the performance of model, it was found that pixel solitary wave can still maintain their properties unchanged after the interaction, so pixel itself can be replaced by pixel solitary wave. To study the interaction situation of pixel solitary wave, it was found that pixel solitary wave amplitude was nonlinear superposition of the two, so it could be used as the result of the influence. The phase change of pixel solitary wave can map for direction and provide direction information of the image. The experiment result shows that the model can be used in image filtering, although the smoothness is not optimal, image details retain more.

     

    • FullText(HTML)
  • loading
    • References(17)
  • [1]
    Vese L,Osher S.The level set method links active contours,mumford-shah segmentation,and total variation restoration,CAM-report 02-05[R].Los Angeles,CA:CAM Report,2002.
    [2]
    Perona P,Malik J.Scale-space and edge detection using anisotropic diffusion[J].IEEE Transactions on Pattern Analysis and Machine Intelligence,1990,12(7):629-639.
    [3]
    Xiao Z T,Xu Z B,Zhang F,et al.ESPI filtering method based on anisotropic coherence diffusion and Perona-Malik diffusion[J].Chinese Optics Letters,2013,11(10):43-46.
    [4]
    Shapiro J M.Embedded image coding using zero-tree of wavelet coefficients[J].IEEE Transactions on Signal Processing,1993,41(12):3445-3462.
    [5]
    Mallat S,Zhong S F.Characterization of signals from multiscale edges[J].IEEE Transactions on PAMI,1992,14(7):710-732.
    [6]
    Mallat S.Multiresolution representation and wavelets[D].Philade,PA:University of Pennsylvania,1988.
    [7]
    Rafiullah C,Asifullah K,Adnan I.Wavelet based image authentication and recovery[J].Journal of Computer Science & Technology,2007(6):795-804.
    [8]
    晁锐,张科,李言俊.一种基于小波变换的图像融合算法[J].电子学报,2004,32(5):750-753. Chao R,Zhang K,Li Y J.An image fusion algorithm using wavelet transform[J].Acta Electronica Sinica,2004,32(5):750-753(in Chinese).
    [9]
    郭亮.基于偏微分方程的图像滤波方法研究[D].沈阳:大连海事大学,2013. Guo L.PDE-based research on image filtering methods[D].Shenyang:Dalian Maritime University,2013(in Chinese).
    [10]
    蔡超.基于小波和偏微分方程的图像处理方法与应用[D].武汉:华中科技大学,2005. Cai C.Wavelet and partial differential equation based image processing methods and their applications[D].Wuhan:Huazhong University of Science and Technology,2005(in Chinese).
    [11]
    董卫军.基于小波变换的图像处理技术研究[D].西安:西北大学,2006. Dong W J.Image processing technique research based on wavelet transform[D].Xi'an:Northwest University,2006(in Chinese).
    [12]
    Zhu Z M,Liu R Q,Cao Y W,et al.Image processing algorithm based on solitary wave[J].Applied Mechanics and Materials,2014(539):126-130.
    [13]
    田强.晶格振动简正坐标的具体表述及其讨论[J].大学物理,1999(8):7-8. Tian Q.Discussions on some relations about ortho-coordinate[J].College Physics,1999(8):7-8(in Chinese).
    [14]
    陈登远.孤子引论[M].北京:科学出版社,2006:39-41. Chen D Y.An introduction to soliton[M].Beijing:Science Press,2006:39-41(in Chinese).
    [15]
    Hirota R.Exact solutions of Kortewerg-de veris equation for multiple collisions of solutions[J].Physical Review Letters,1971,27(18):1192-1194.
    [16]
    Remoissenet M.Waves called solitons[M].2nd ed.Berlin Heidelberg:Springer,1999:138-204.
    [17]
    Sulem C,Sulem P L.The nonlinear Schrodinger equation:Self-focusing and wave collapse[M].New York:Springer New York Inc.,1999:57-92.
    • Relative Articles
    • Supplements(0)
    • Cited By
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索
    Get Citation
    PDF
    XML

    Article Metrics

    Article views(758) PDF downloads(473) Cited by()
    Proportional views
    Related

    Copyright © Journal of Beijing University of Aeronautics and Astronautics

    Address: Editorial Department of Journal of Beijing University of Aeronautics and Astronautics, 37 Xueyuan Road, Haidian District, Beijing Post Code: 100191 Email: jbuaa@buaa.edu.cn

    Supported by: Beijing Renhe Information Technology Co., Ltd.    

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return