Title: Second-generation wavelet denoising methods for irregularly spaced data in two dimensions
Authors: Delouille, Véronique ×
Jansen, Maarten
von Sachs, Rainer #
Issue Date: Jul-2006
Publisher: Elsevier science bv
Series Title: Signal processing vol:86 issue:7 pages:1435-1450
Abstract: This paper discusses bivariate scattered data denoising. The proposed method uses second-generation wavelets constructed with the lifting scheme. Starting from a simple initial transform, we propose predictor operators based on a stabilized bivariate generalization of the Lagrange interpolating polynomial. These predictors are meant to provide a smooth reconstruction. Next, we include an update step which helps to reduce the correlation amongst the detail coefficients, and hence stabilizes the final estimator. We use a Bayesian thresholding algorithm to denoise the empirical coefficients, and we show the performance of the resulting estimator through a simulation study. (C) 2005 Elsevier B.V. All rights reserved.
ISSN: 0165-1684
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Statistics Section
× corresponding author
# (joint) last author

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