Scattered data smoothing by empirical Bayesian shrinkage of second-generation wavelet coefficients

Maarten Jansen; Guy P. Nason; Bernard W. Silverman

doi:10.1117/12.449738

5 December 2001 Scattered data smoothing by empirical Bayesian shrinkage of second-generation wavelet coefficients

Maarten Jansen, Guy P. Nason, Bernard W. Silverman

Proceedings Volume 4478, Wavelets: Applications in Signal and Image Processing IX; (2001) https://doi.org/10.1117/12.449738
Event: International Symposium on Optical Science and Technology, 2001, San Diego, CA, United States

Abstract

We propose a novel approach for scattered data smoothing based on second generation wavelets. This wavelet transform automatically adapts to the irregularity of the grid. Our implementation also pays attention to numerical stability, a crucial property in estimation procedures. The wavelet coefficients are shrunk either with simple soft-thresholding or with an empirical Bayesian estimation.

Citation Download Citation

Maarten Jansen, Guy P. Nason, and Bernard W. Silverman "Scattered data smoothing by empirical Bayesian shrinkage of second-generation wavelet coefficients", Proc. SPIE 4478, Wavelets: Applications in Signal and Image Processing IX, (5 December 2001); https://doi.org/10.1117/12.449738

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