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A Constructive Algorithm for Designing Biorthogonal Bivariate Wavelets with Finite Support

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Advanced Research on Computer Science and Information Engineering (CSIE 2011)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 152))

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Abstract

Wavelet analysis has been developed into a new branch for over twenty years. The notion of vector-valued binary wavelets with two-scale dilation factor associated with an orthogonal vector-valued scaling function is introduced. The existence of orthogonal vector-valued wavelets with multi-scale is discussed. A necessary and sufficient condition is presented by means of vector-valued multiresolution analysis and paraunitary vector filter bank theory. An algorithm for constructing a sort of orthogonal vector-valued wave-lets with compact support is proposed, and their properties are investigated.

Foundation item: The research is supported by National Natural Science Foundation of China (Grant No:10971160), and by Natural Science Foundation of Shaanxi Province (Grant No:2009J M1002).

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Author information

Authors and Affiliations

  1. School of Science, Xi’an University of Arch. and Technology, Xi’an, 710055, P.R. China

    Qingjiang Chen, Na Bai & Yongmei Shang

Authors
  1. Qingjiang Chen
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  2. Na Bai
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  3. Yongmei Shang
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Editor information

Editors and Affiliations

  1. Wuhan University of Science and Technology, Zhongnan Branch, No.18, Jiangxia Road, Wuhan, China

    Gang Shen

  2. International Science & Education Researcher Association, Wuhan Branch, No.1, Jiangxia Road, Wuhan, China

    Xiong Huang

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© 2011 Springer-Verlag Berlin Heidelberg

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Chen, Q., Bai, N., Shang, Y. (2011). A Constructive Algorithm for Designing Biorthogonal Bivariate Wavelets with Finite Support. In: Shen, G., Huang, X. (eds) Advanced Research on Computer Science and Information Engineering. CSIE 2011. Communications in Computer and Information Science, vol 152. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-21402-8_5

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  • DOI: https://doi.org/10.1007/978-3-642-21402-8_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-21401-1

  • Online ISBN: 978-3-642-21402-8

  • eBook Packages: Computer ScienceComputer Science (R0)

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