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Construction of Bivariate Nonseparable Compactly Supported Orthogonal Wavelets

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  • Jinsong Leng
  • Tingzhu Huang
  • Carlo Cattani

Abstract

A method for constructing bivariate nonseparable compactly supported orthogonal scaling functions, and the corresponding wavelets, using the dilation matrix , is given. The accuracy and smoothness of the scaling functions are studied, thus showing that they have the same accuracy order as the univariate Daubechies low-pass filter , to be used in our method. There follows that the wavelets can be made arbitrarily smooth by properly choosing the accuracy parameter .

Suggested Citation

  • Jinsong Leng & Tingzhu Huang & Carlo Cattani, 2013. "Construction of Bivariate Nonseparable Compactly Supported Orthogonal Wavelets," Mathematical Problems in Engineering, Hindawi, vol. 2013, pages 1-11, March.
    • Handle: RePEc:hin:jnlmpe:624957
    DOI: 10.1155/2013/624957
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