A smoothing filter based on fuzzy transform

DOI10.1016/j.fss.2011.05.028zbMath1241.94011OpenAlexW1975671275MaRDI QIDQ429373

Michal Holčapek, Tomas Tichý

Publication date: 19 June 2012

Published in: Fuzzy Sets and Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.fss.2011.05.028

zbMATH Keywords

Nadaraya-Watson estimatorkernel regressionfuzzy partitionfuzzy transformnoise reductionfinancial returns

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Financial applications of other theories (91G80)

Related Items (12)

A new reconstruction from the F-transform components ⋮ Differentiation by the F-transform and application to edge detection ⋮ Multivariate fuzzy transform of complex-valued functions determined by monomial basis ⋮ Adjoint Fuzzy Partition and Generalized Sampling Theorem ⋮ 50 Years of fuzzy: from discrete to continuous to – Where? ⋮ Generalized uniform fuzzy partition: the solution to Holčapek's open problem ⋮ Properties of fuzzy transform obtained from \(L_p\) minimization and a connection with Zadeh's extension principle ⋮ Necessary and sufficient conditions for generalized uniform fuzzy partitions ⋮ Filtering out high frequencies in time series using F-transform ⋮ Adaptive periodic noise reduction in digital images using fuzzy transform ⋮ Polynomial alias higher degree fuzzy transform of complex-valued functions ⋮ Quantile and expectile smoothing based on \(L_1\)-norm and \(L_2\)-norm fuzzy transforms

Uses Software

• KernSmooth

Cites Work

• Parametric representation of fuzzy numbers and application to fuzzy calculus
• Noise reduction: Finding the simplest dynamical system consistent with the data
• Fuzzy filters for image processing
• Nonparametric and semiparametric models.
• Smoothing methods in statistics
• A segmentation method for images compressed by fuzzy transforms
• Fuzzy transforms method and attribute dependency in data analysis
• Fuzzy transform in the analysis of data
• An image coding/decoding method based on direct and inverse fuzzy transforms
• Fuzzy transforms: theory and applications
• Fuzzy transform as an additive normal form
• Fuzzy Transforms and Their Applications to Image Compression
• Operations on fuzzy numbers
• Transactions on Rough Sets II
• A new approach to clustering
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