Construction of Bivariate Nonseparable Compactly Supported Orthogonal Wavelets

Jinsong Leng, Tingzhu Huang and Carlo Cattani

Mathematical Problems in Engineering, 2013, vol. 2013, 1-11

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 .

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:624957

DOI: 10.1155/2013/624957

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