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基于主方向构造二分树复数小波的新方法

王红霞 陈波 成礼智

王红霞, 陈波, 成礼智. 基于主方向构造二分树复数小波的新方法. 自动化学报, 2006, 32(1): 47-53.
引用本文: 王红霞, 陈波, 成礼智. 基于主方向构造二分树复数小波的新方法. 自动化学报, 2006, 32(1): 47-53.
WANG Hong-Xia, CHEN Bo, CHENG Li-Zhi. A New Construction Method for the Dual Tree Complex Wavelet Based on Direction Sensitivity. ACTA AUTOMATICA SINICA, 2006, 32(1): 47-53.
Citation: WANG Hong-Xia, CHEN Bo, CHENG Li-Zhi. A New Construction Method for the Dual Tree Complex Wavelet Based on Direction Sensitivity. ACTA AUTOMATICA SINICA, 2006, 32(1): 47-53.

基于主方向构造二分树复数小波的新方法

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    通讯作者:

    王红霞

A New Construction Method for the Dual Tree Complex Wavelet Based on Direction Sensitivity

More Information
    Corresponding author: WANG Hong-Xia
  • 摘要: The conception of “main direction” of multi-dimensional wavelet is established in this paper, and the capabilities of several classical complex wavelets for representing directional singularities are investigated based on their main directions. It is proved to be impossible to represent directional singularities optimally by a multi-resolution analysis (MRA) of L2(R2). Based on the above results, a new algorithm to construct Q-shift dual tree complex wavelet is proposed. By optimizing the main direction of parameterized wavelet filters, the difficulty in choosing stop-band frequency is overcome and the performances of the designed wavelet are improved too. Furthermore, results of image enhancement by various multi-scale methods are given, which show that the new designed Q-shift complex wavelet do offer significant improvement over the conventionally used wavelets. Direction sensitivity is an important index to the performance of 2D wavelets.
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出版历程
  • 收稿日期:  2005-01-04
  • 修回日期:  2005-09-10
  • 刊出日期:  2006-01-20

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