Statistical properties, fixed points, and decomposition with WMMR filters

DOI10.1007/BF00118584zbMath0796.62080MaRDI QIDQ1318581

Harold Longbotham, David H. Eberly

Publication date: 7 April 1994

Published in: Journal of Mathematical Imaging and Vision (Search for Journal in Brave)

zbMATH Keywords

breakpointfixed pointsoptimalityHaar basissignal decompositionmedian filteredge enhancementaffine equivariantbandpassconvex weightsfinite-length signal with constant boundariesgeneralized-order statistic filterhighpassLMS regressionlowpassorder-statistic filterspiecewise-constant signalsWMMR filters

Mathematics Subject Classification ID

Inference from stochastic processes and prediction (62M20) Filtering in stochastic control theory (93E11) Applications of statistics (62P99) Survival analysis and censored data (62N99) Probabilistic methods, stochastic differential equations (65C99)

Related Items (1)

Statistical properties, fixed points, and decomposition with WMMR filters

Cites Work

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• Statistical properties, fixed points, and decomposition with WMMR filters
• Least Median of Squares Regression
• The Breakdown Points of the Mean Combined with Some Rejection Rules
• A generalization of median filtering using linear combinations of order statistics
• Orthonormal bases of compactly supported wavelets
• Complete classification of roots to one-dimensional median and rank-order filters
• Theory of order statistic filters and their relationship to linear FIR filters
• The WMMR filters: a class of robust edge enhancers

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