Fuzzy transform and least-squares approximation: Analogies, differences, and generalizations

DOI10.1016/j.fss.2010.10.011zbMath1244.44001OpenAlexW1988881936MaRDI QIDQ429370

Giuseppe Patanè

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.2010.10.011

zbMATH Keywords

radial basis functionsleast-squares approximationLaplacian matrixintrinsic geometryfuzzy transformdual basisdiscrete fuzzy transform

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Numerical methods for integral transforms (65R10) Fuzzy real analysis (26E50)

Related Items (11)

Cubic B-spline fuzzy transforms for an efficient and secure compression in wireless sensor networks ⋮ 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 ⋮ Approximation of integrable functions based on \(\phi\)-transform ⋮ Multivariate fuzzy transform of complex-valued functions determined by monomial basis ⋮ Adjoint Fuzzy Partition and Generalized Sampling Theorem ⋮ Multi-dimensional fuzzy transform and projection ⋮ Polynomial alias higher degree fuzzy transform of complex-valued functions ⋮ A review on the application of fuzzy transform in data and image compression

Cites Work

• Unnamed Item
• Unnamed Item
• Interpolation of scattered data: distance matrices and conditionally positive definite functions
• A neural network approach to the fuzzy transform
• Multivariate interpolation of arbitrarily spaced data by moving least squares methods
• Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree
• Mining pure linguistic associations from numerical data
• Fuzzy transform in the analysis of data
• An image coding/decoding method based on direct and inverse fuzzy transforms
• Fuzzy transforms: theory and applications
• An optimal algorithm for approximate nearest neighbor searching fixed dimensions
• Numerical Procedures for Surface Fitting of Scattered Data by Radial Functions
• Ten Lectures on Wavelets
• [https://portal.mardi4nfdi.de/wiki/Publication:4337503 Open problems of Paul Erd�s in graph theory]
• Theory of Reproducing Kernels

This page was built for publication: Fuzzy transform and least-squares approximation: Analogies, differences, and generalizations