Fuzzy projection versus inverse fuzzy transform as sampling/interpolation schemes

DOI10.1016/j.fss.2011.10.016zbMath1238.94013OpenAlexW1986685626MaRDI QIDQ419056

Jean-François Crouzet

Publication date: 18 May 2012

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

Full work available at URL: https://doi.org/10.1016/j.fss.2011.10.016

zbMATH Keywords

interpolationsamplingcompressionspectral analysisleast squares minimizationdenoisingfuzzy transform

Mathematics Subject Classification ID

Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Fuzzy sets and logic (in connection with information, communication, or circuits theory) (94D05) Sampling theory in information and communication theory (94A20)

Related Items (12)

Non-additive interval-valued F-transform ⋮ A new reconstruction from the F-transform components ⋮ An interval-valued inversion of the non-additive interval-valued F-transform: use for upsampling a signal ⋮ 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 ⋮ Fuzzy spline interpolation with optimal property in parametric form ⋮ Multi-dimensional fuzzy transform and projection ⋮ On fuzzy linear projection equation and applications ⋮ 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 ⋮ Analysis of autocorrelation function of stochastic processes by F-transform of higher degree

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