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Wavelets Approach in Choosing Adaptive Regularization Parameter

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Wavelet Analysis and Its Applications (WAA 2001)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2251))

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Abstract

In noise removal by the approach of regularization, the regularization parameter is global. Constructing the variational model \( \mathop {min}\limits_g \left\| {f - g} \right\|_{L_2 \left( R \right)}^2 + \alpha R\left( g \right),g \) is in some wavelets space. Through the wavelets pyramidal decompose and the different time-frequency properties between noise and signal, the regularization parameter is adaptively chosen, the different parameter is chosen in different level for adaptively noise removal.

This work is supported by Natural Science Foundation of Guangdong (9902275), Foundation of Zhongshan University Advanced Research Centre.

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Author information

Authors and Affiliations

  1. Department of Scientific Computing and Computer Applications, Zhongshan University, 510275, Guangzhou, P. R. China

    Feng Lu, Zhaoxia Yang & Yuesheng Li

Authors
  1. Feng Lu
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  2. Zhaoxia Yang
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  3. Yuesheng Li
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Editor information

Editors and Affiliations

  1. Department of Computer Science, Hong Kong Baptist University, Kowloon Tong, Hong Kong

    Yuan Y. Tang , Pong C. Yuen  & Chun-hung Li ,  & 

  2. Department of Mathematics, Washington University, Cupples I, Campus Box 1146, 63130, St. Louis, Missouri, USA

    Victor Wickerhauser

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© 2001 Springer-Verlag Berlin Heidelberg

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Lu, F., Yang, Z., Li, Y. (2001). Wavelets Approach in Choosing Adaptive Regularization Parameter. In: Tang, Y.Y., Yuen, P.C., Li, Ch., Wickerhauser, V. (eds) Wavelet Analysis and Its Applications. WAA 2001. Lecture Notes in Computer Science, vol 2251. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45333-4_52

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  • DOI: https://doi.org/10.1007/3-540-45333-4_52

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-43034-6

  • Online ISBN: 978-3-540-45333-8

  • eBook Packages: Springer Book Archive

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