Outlier robust corner-preserving methods for reconstructing noisy images

DOI10.1214/009053606000001109zbMath1114.62050arXiv0708.0481OpenAlexW1997271628MaRDI QIDQ997375

Christine H. Müller, Martin Hillebrand

Publication date: 23 July 2007

Published in: The Annals of Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0708.0481

zbMATH Keywords

outliersrobustnessconsistencyM-estimationcorner-preservingM-kernel estimation

Mathematics Subject Classification ID

Nonparametric regression and quantile regression (62G08) Asymptotic properties of nonparametric inference (62G20) Nonparametric robustness (62G35) Image analysis in multivariate analysis (62H35)

Related Items (7)

Implicitly weighted methods in robust image analysis ⋮ Edge structure preserving image denoising ⋮ Application of the partitioning method to specific Toeplitz matrices ⋮ Digital image reconstruction in the spectral domain utilizing the Moore-Penrose inverse ⋮ A nonparametric procedure for blind image deblurring ⋮ Applications of the Moore-Penrose inverse in digital image restoration ⋮ Image reconstruction from an efficient number of moment-based projections

Uses Software

• AWS

Cites Work

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• Robust estimators for estimating discontinuous functions
• Comparison of high-breakdown-point estimators for image denoising
• On the asymptotic performance of median smoothers in image analysis and nonparametric regression
• Robust planning and analysis of experiments
• Image denoising: Pointwise adaptive approach
• Breakdown points and variation exponents of robust \(M\)-estimators in linear models
• Wedgelets: Nearly minimax estimation of edges
• On consistency of redescending M-kernel smoothers
• Least Median of Squares Regression
• Location estimators based on linear combinations of modified order statistics
• Edge-Preserving Smoothers for Image Processing
• TRIMMED LIKELIHOOD ESTIMATION OF LOCATION AND SCALE OF THE NORMAL DISTRIBUTION
• Ridgelets: a key to higher-dimensional intermittency?
• A General Qualitative Definition of Robustness
• Robust Statistics

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