# zbMATH — the first resource for mathematics

Wavelets approach in choosing adaptive regularization parameter. (English) Zbl 1053.68779
Tang, Yuan Y. (ed.) et al., Wavelet analysis and its applications. 2nd international conference, WAA 2001, Hong Kong, China, December 18–20, 2001. Proceedings. Berlin: Springer (ISBN 3-540-43034-2). Lect. Notes Comput. Sci. 2251, 418-423 (2001).
Summary: In noise removal by the approach of regularization, the regularization parameter is global. Constructing the variational model $$\min\limits_{g} \| f-g\|^2_{L_2(R)}+\alpha R(g),g$$ 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.
For the entire collection see [Zbl 0984.00053].
##### MSC:
 68U10 Computing methodologies for image processing 94A08 Image processing (compression, reconstruction, etc.) in information and communication theory 42C40 Nontrigonometric harmonic analysis involving wavelets and other special systems 65T60 Numerical methods for wavelets