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基于非线性提升小波变换的图像去噪 被引量:3

Image De-noising Based on Non-linear Lifting Wavelet Transform
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摘要 基于提升方案的小波变换结构简单 ,不需要额外的存储空间 ,易于实现。同时 ,提升方案中的预测和更新算子既可以是线性的 ,也可以是非线性的 ,这就为我们构造非线性小波提供了一条有效的途径。该文利用一些简单的非线性算子 ,如求中位数和最大值等 ,构造出基于整数的非线性提升小波 ,并将该方法应用于阈值去噪处理中 ,得到了较好的效果 。 Wavelet transform based on lifting scheme has a simple structure, needs no more storage space and is very easy to be implemented. Meanwhile, as the operations in the prediction and update steps of the lifting scheme can be linear as well as non-linear, it provides us an efficient way to construct non-linear lifting wavelet transforms. In this paper, we construct a series of non-linear integer wavelet transforms based on lifting scheme using some simple non-linear operations such as median, max and so on, which is extremely easy to be implemented. Then we apply some wavelet transform into image de-noising by thresholding and get a good result of this method for improving images' SNR remarkably.
出处 《计算机仿真》 CSCD 2004年第9期85-86,174,共3页 Computer Simulation
关键词 非线性 小波变换 图像去嗓 提升方案 阈值 图像处理 Lift scheme Wavelet transform Image de-noising Threshold
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参考文献5

  • 1W Sweldens. The lifing scheme: A construction of second generation wavelets [J]. SIAM J. Math. Anal. 1998, (29): 511 - 546.
  • 2W Sweldens. The lifting scheme: a custom- design consruction of biorthogonal wavelets [J]. Journal of Applied and Comput. Harmonic Analysis. 1996, 3(2): 186 - 200.
  • 3J A Henk, M Heijmans, John Goutsias. Nonlinear Multiresolution Signal Decomposition Schemes - Part Ⅱ: Morphological Wavelets [J].IEEE Transactinns on Image Processing. 2000, 11(9): 1897 - 1913.
  • 4I Daubechies and W Sweldens. Factoring wavelet transforms into lifting stepe [J]. J Fourier Anal. Appl., 1998, 4(3): 247-269.
  • 5D L Donoho. De - nosing by soft thresholding [ J]. IEEE Transactions on Information Theory, 1995, 41(3): 613 - 627.

同被引文献16

  • 1马强,林克正,熊常芳.基于第二代小波变换的图像消噪[J].哈尔滨理工大学学报,2005,10(1):132-134. 被引量:4
  • 2杨丽梅,郭立红.一种飞行器结构特征提取与识别的方法[J].电子器件,2007,30(3):1028-1030. 被引量:1
  • 3周新伦 柳建.数字图像处理[M].北京:国防工业出版社,1985,第5章5,2节..
  • 4杨先麟,朱艳芹.小波分析在图像处理中的应用[J].国外电子测量技术,2007,26(6):19-22. 被引量:15
  • 5Sweldens W.The lifting scheine:a construction of second generation wavelets [J].SIAM Journal Mathematical Analysis, 1997,29 (2) : 511 - 546.
  • 6Daubechies I,Sweldens W.Factoring wavelet transforms into lifting steps[J].Journal of Fourier Analysis and Applications, 1998,4(3): 247-269.
  • 7Sweldens W,Schroder P.Building your own wavelets at home[R]. Columbia:University of South Carolina, 1995.
  • 8Donoho D.De-nosing by soft thresholding[J].IEEE Transactions on Information Theory, 1995,41 (3) :613-627.
  • 9Sweldens W.The Lifing Scheme:A Construction of Second-Generation Wavelets[J].SIAM J.Math Anal,1998,(29):511-546.
  • 10Sweldens W.The Lifing Scheme:A Custom_Design Construction of Biorthogonal Wavelets[J].Journal of Applied and Compute Harmonic Analysis.1996,3 (2):186-200.

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