Scale space multiresolution analysis of random signals

DOI10.1016/j.csda.2011.04.011zbMath1218.62067OpenAlexW2000424355WikidataQ57815996 ScholiaQ57815996MaRDI QIDQ139115

Stephan R. Sain, Leena Pasanen, Lasse Holmström, Reinhard Furrer, Lasse Holmström, Stephan R. Sain, Leena Pasanen, Reinhard Furrer

Publication date: October 2011

Published in: Computational Statistics & Data Analysis, Computational Statistics and Data Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.csda.2011.04.011

zbMATH Keywords

image analysisBayesian methodsclimate researchscale space smoothing

Mathematics Subject Classification ID

Random fields; image analysis (62M40) Applications of statistics to environmental and related topics (62P12) Bayesian inference (62F15) Image analysis in multivariate analysis (62H35) Signal theory (characterization, reconstruction, filtering, etc.) (94A12)

Related Items (7)

Scale space multiresolution correlation analysis for time series data ⋮ Statistical Scale Space Methods ⋮ Bayesian multiscale analysis of images modeled as Gaussian Markov random fields ⋮ Bayesian scale space analysis of temporal changes in satellite images ⋮ Extraction of sea temperature in the Barents Sea by a scale space multiresolution method – prospects for Atlantic salmon ⋮ mrbsizeR ⋮ Scale-space module detection for random fields observed on a graph non-embedded in a metric space

Uses Software

• KernSmooth
• GMRFLib
• mrbsizeR
• SiZer

Cites Work

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• A visual display device for significant features in complicated signals
• Statistical and computational inverse problems.
• Scale space view of curve estimation.
• Fast direct solvers for Poisson equation on 2D polar and spherical geometries
• Multiresolution models for nonstationary spatial covariance functions
• SiZer for Exploration of Structures in Curves
• Gaussian Markov Random Fields
• Bayesian analysis of features in a scatter plot with dependent observations and errors in predictors
• Multiscale, Multigranular Statistical Image Segmentation

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