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Proceedings Paper

Scattered data smoothing by empirical Bayesian shrinkage of second-generation wavelet coefficients
Author(s): Maarten Jansen; Guy P. Nason; Bernard W. Silverman
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Paper 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.

Paper Details

Date Published: 5 December 2001
PDF: 11 pages
Proc. SPIE 4478, Wavelets: Applications in Signal and Image Processing IX, (5 December 2001); doi: 10.1117/12.449738
Show Author Affiliations
Maarten Jansen, Rice Univ. (United States)
Guy P. Nason, Univ. of Bristol (United Kingdom)
Bernard W. Silverman, Univ. of Bristol (United Kingdom)


Published in SPIE Proceedings Vol. 4478:
Wavelets: Applications in Signal and Image Processing IX
Andrew F. Laine; Michael A. Unser; Akram Aldroubi, Editor(s)

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