منابع مشابه
Smoothers for Discontinuous Signals
First we explain the interplay between robust loss functions non linear lters and Bayes smoothers for edge preserving image recon struction Then we prove the surprising fact that maximum posterior smoothers are nonlinear lters A generalized Potts prior for segmen tation and piecewise smoothing of noisy signals and images is adopted For one dimensional signals an exact solution for the maximum p...
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The multigrid method for discontinuous Galerkin discretizations of advection-diffusion problems is presented. It is based on a block Gauss-Seidel smoother with downwind ordering honoring the advection operator. The cell matrices of the DG scheme are inverted in this smoother in order to obtain robustness for higher order elements. Employing a set of experiments, we show that this technique actu...
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Discontinuous signals buried in noise cannot be recovered by linear filtering methods. This paper presents a new class of nonlinear filters in which sets of forward and backward linear predictors and smoothers compete with each other at each timestep. The winner of each competition is granted the right to produce the smoothed estimate at that timestep. This conceptually simple approach to nonli...
متن کاملMultigrid Smoothers for Ultraparallel Computing
This paper investigates the properties of smoothers in the context of algebraic multigrid (AMG) running on parallel computers with potentially millions of processors. The development of multigrid smoothers in this case is challenging, because some of the best relaxation schemes, such as the Gauss-Seidel (GS) algorithm, are inherently sequential. Based on the sharp two-grid multigrid theory from...
متن کاملEfficient Denoising of Piecewise-Smooth Signals with Forward-Backward FIR Smoothers
Abstract: A forward-backward (FB) unbiased finite impulse response (UFIR) smoothing algorithm is addressed to provide efficient denoising of piecewise-smooth signals with known or identifiable edge positions. Owing to the time-variant horizon, the algorithm unites advantages of linear structures with robustness of nonlinear ones. The FB UFIR smoother proposed has been examined in Gaussian and h...
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ژورنال
عنوان ژورنال: Journal of Nonparametric Statistics
سال: 2002
ISSN: 1048-5252,1029-0311
DOI: 10.1080/10485250211388