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Design of compactly supported trivariate orthogonal wavelets

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  • Huang, Yongdong
  • Cheng, Zhengxing
  • Yang, Jianwei

Abstract

In this paper, a method is developed for constructing compactly supported trivariate orthogonal wavelets from univariate orthogonal wavelets, essential idea of the approach is permutation of conjugate quadrature filter. Nonseparable and separable wavelets can be achieved from univariate orthogonal wavelets. Two examples are given to demonstrate this method.

Suggested Citation

  • Huang, Yongdong & Cheng, Zhengxing & Yang, Jianwei, 2007. "Design of compactly supported trivariate orthogonal wavelets," Chaos, Solitons & Fractals, Elsevier, vol. 34(5), pages 1440-1449.
    • Handle: RePEc:eee:chsofr:v:34:y:2007:i:5:p:1440-1449
    DOI: 10.1016/j.chaos.2006.06.078
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    References listed on IDEAS

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    1. El Naschie, M.S., 2006. "Hilbert space, the number of Higgs particles and the quantum two-slit experiment," Chaos, Solitons & Fractals, Elsevier, vol. 27(1), pages 9-13.
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    Cited by:

    1. Liu, Guojun & Feng, Xiangchu & Li, Min, 2009. "Relationship of d-dimensional continuous multi-scale wavelet shrinkage with integro-differential equations," Chaos, Solitons & Fractals, Elsevier, vol. 40(3), pages 1118-1126.
    2. Huang, Yongdong & Lei, Chongmin & Yang, Miao, 2009. "The construction of a class of trivariate nonseparable compactly supported orthogonal wavelets," Chaos, Solitons & Fractals, Elsevier, vol. 40(3), pages 1530-1537.
    3. Sun, Lei & Zhang, Xiaozhong, 2009. "A note on biorthogonality of the scaling functions with arbitrary matrix dilation factor," Chaos, Solitons & Fractals, Elsevier, vol. 41(2), pages 711-715.

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