The quickhull algorithm for convex hulls
ACM Transactions on Mathematical Software (TOMS)
Generalized cross validation for wavelet thresholding
Signal Processing
On the computation of wavelet coefficients
Journal of Approximation Theory
The lifting scheme: a construction of second generation wavelets
SIAM Journal on Mathematical Analysis
Wavelet regression for random or irregular design
Computational Statistics & Data Analysis
Multiresolution signal processing for meshes
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Next century challenges: scalable coordination in sensor networks
MobiCom '99 Proceedings of the 5th annual ACM/IEEE international conference on Mobile computing and networking
Stabilised wavelet transforms for non-equispaced data smoothing
Signal Processing - Signal processing with heavy-tailed models
A Stabilized Lifting Construction of Wavelets on Irregular Meshes on the Interval
SIAM Journal on Scientific Computing
Robust distributed estimation in sensor networks using the embedded polygons algorithm
Proceedings of the 3rd international symposium on Information processing in sensor networks
De-noising by soft-thresholding
IEEE Transactions on Information Theory
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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.