The Characterization of Two-Direction Vector-Valued Wavelets and its Applications in Material Engineering

Qing Jiang Chen; Huan Chen; Hong Wei Gao

doi:10.4028/www.scientific.net/AMM.457-458.36

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 457-458The Characterization of Two-Direction...

The Characterization of Two-Direction Vector-Valued Wavelets and its Applications in Material Engineering

Abstract:

Material science is an interdisciplinary field applying the properties of matter to various areas of science and engineering. In this work, we study construction and properties of orthogonal two-direction vector-valued wavelet with poly-scale. Firstly, the concepts concerning two-direct-ional vector-valued waelets and wavelet wraps with multi-scale are provided. Secondly, we prop ose a construction algorim for compactly supported orthogonal two-directional vector-valued wave lets. Lastly, properties of a sort of orthogonal two-directional vector-valued wavelet wraps are char acterized by virtue of the matrix theory and the time-frequency analysis method.

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Periodical:

Applied Mechanics and Materials (Volumes 457-458)

Pages:

36-39

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.457-458.36

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Online since:

October 2013

Authors:

Qing Jiang Chen, Huan Chen, Hong Wei Gao

Keywords:

Compact Support, Orthogonal Wrap Bases, Two-Direction Vector-Valued Wavelet, Vector-Valued Multiresolution Analysis, Wavelet Frames, Wavelet Wraps

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References

[1] X. Xia, B W Suter．Vector-Valued wavelets and vector filter banks. IEEE Trans Signal Processing, 1996, 44(3): 508-518.

DOI: 10.1109/78.489024

Google Scholar

[2] S. Yang,Y. Li. Two-direction refinable functiongs and two- direction wavelets with dilation factor m. Applied Mathematics and Computation, 2007, 188 (2): 1908-(1920).

DOI: 10.1016/j.amc.2006.11.078

Google Scholar

[3] N. Zhang, X. Wu X. Lossless Compression of Color Mosaic Images. IEEE Trans Image processing, 2006, 15(16): 1379-1388.

DOI: 10.1109/tip.2005.871116

Google Scholar

[4] Q. Chen, etal, A study on compactly supported orthogo-nal vector-valued wavelets and wavelet packets. Chaos, Soli-tons & Fractals, 2007, 31(4) : 1024-1034, (2007).

DOI: 10.1016/j.chaos.2006.03.097

Google Scholar

[5] S. Li, etal, Pseudoframes for Subspaces with Applications. Four Anal Appl. 2004; 10: 409-431.

Google Scholar

[6] Q. Chen, A. Huo. The research of a class of biorthogonal compactly supported vector-valued wavelets. Chaos, Solitons & Fractals, 2009, 41(2): 951–961.

DOI: 10.1016/j.chaos.2008.04.025

Google Scholar