Analysis and construction of multivariate interpolating refinable function vectors
From MaRDI portal
Publication:1038735
DOI10.1007/s10440-008-9399-8zbMath1175.42020OpenAlexW2029204039MaRDI QIDQ1038735
Publication date: 20 November 2009
Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10440-008-9399-8
Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Numerical methods for wavelets (65T60) Interpolation in approximation theory (41A05) Spline approximation (41A15) Fourier series and coefficients in several variables (42B05)
Related Items (10)
Phase retrieval of real-valued functions in Sobolev space ⋮ Multivariate generalized Hermite subdivision schemes ⋮ Multiwavelet sampling theorem in Sobolev spaces ⋮ Analysis and convergence of Hermite subdivision schemes ⋮ Bessel multiwavelet sequences and dual multiframelets in Sobolev spaces ⋮ Hermite-like interpolating refinable function vector and its application in signal recovering ⋮ Algorithms for matrix extension and orthogonal wavelet filter banks over algebraic number fields ⋮ On construction of multivariate symmetric MRA-based wavelets ⋮ Quincunx fundamental refinable functions in arbitrary dimensions ⋮ Sampling approximation by framelets in Sobolev space and its application in modifying interpolating error
Cites Work
- Unnamed Item
- Symmetry property and construction of wavelets with a general dilation matrix
- Generalized interpolating refinable function vectors
- Symmetric iterative interpolation processes
- On inverses of Vandermonde and confluent Vandermonde matrices
- A family of Hermite interpolants by bisection algorithms
- Vector cascade algorithms and refinable function vectors in Sobolev spaces
- Convergence of cascade algorithms and smoothness of refinable distributions
- A new subdivision method for bivariate splines on the four-directional mesh
- Convergence of vector subdivision schemes in Sobolev spaces
- Nonuniform average sampling and reconstruction in multiply generated shift-invariant spaces
- Multiple refinable Hermite interpolants
- Analysis of optimal bivariate symmetric refinable Hermite interpolants
- Matrix-valued symmetric templates for interpolatory surface subdivisions. I: Regular vertices
- Interpolating multiwavelet bases and the sampling theorem
- Subdivision schemes in geometric modelling
- Multivariate Refinement Equations and Convergence of Subdivision Schemes
- Optimal Interpolatory Subdivision Schemes in Multidimensional Spaces
- On linear independence for integer translates of a finite number of functions
- Multidimensional Interpolatory Subdivision Schemes
- Computing the Smoothness Exponent of a Symmetric Multivariate Refinable Function
- Spectral Analysis of the Transition Operator and Its Applications to Smoothness Analysis of Wavelets
- Multivariate refinable Hermite interpolant
- On sampling theorem, wavelets, and wavelet transforms
- Analysis and Construction of Optimal Multivariate Biorthogonal Wavelets with Compact Support
- Interpolatory orthogonal multiwavelets and refinable functions
- Approximation properties and construction of Hermite interpolants and biorthogonal multiwavelets
This page was built for publication: Analysis and construction of multivariate interpolating refinable function vectors