Multiscale Poisson Data Smoothing

DOI10.1111/j.1467-9868.2005.00531.xzbMath1141.62014OpenAlexW2170646598MaRDI QIDQ5434730

Maarten Jansen

Publication date: 9 January 2008

Published in: Journal of the Royal Statistical Society Series B: Statistical Methodology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1111/j.1467-9868.2005.00531.x

zbMATH Keywords

Bayesian estimationDirichlet distributionPoisson count data

Mathematics Subject Classification ID

Bayesian inference (62F15) Numerical methods for wavelets (65T60)

Related Items (7)

Data-driven wavelet-Fisz methodology for nonparametric function estimation ⋮ A new Poisson noise filter based on weights optimization ⋮ Multiscale Methods for Data on Graphs and Irregular Multidimensional Situations ⋮ Some limit results on the Haar-Fisz transform for inhomogeneous Poisson signals ⋮ GOES-8 X-Ray Sensor Variance Stabilization Using the Multiscale Data-Driven Haar–Fisz Transform ⋮ Poisson shot noise removal by an oracular non-local algorithm ⋮ Fast interscale wavelet denoising of Poisson-corrupted images

Uses Software

• ThreshLab

Cites Work

• Wavelet denoising of Poisson-distributed data and applications
• Applied mathematics meets signal processing.
• Needles and straw in haystacks: Empirical Bayes estimates of possibly sparse sequences
• Wavelet shrinkage for natural exponential families with quadratic variance functions
• Wavelet Thresholding via A Bayesian Approach
• Multiscale modeling and estimation of Poisson processes with application to photon-limited imaging
• Noise reduction by wavelet thresholding

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