Computing the Smoothness Exponent of a Symmetric Multivariate Refinable Function
From MaRDI portal
Publication:4443767
DOI10.1137/S0895479801390868zbMath1032.42036MaRDI QIDQ4443767
Publication date: 18 January 2004
Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)
symmetryregularitydilation matrixeigenvalues of matricesmultivariate refinable functionsinterpolating functionssmoothness exponentquincunx dilation matrix
Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Multidimensional problems (41A63) General harmonic expansions, frames (42C15) Interpolation in approximation theory (41A05)
Related Items (55)
Construction of biorthogonal wavelets from pseudo-splines ⋮ Construction of uniformly symmetric bi-frames based on multiresolution template algorithm ⋮ Nonuniform sampling and approximation in Sobolev space from perturbation of the framelet system ⋮ Phase retrieval of real-valued functions in Sobolev space ⋮ Parametrization of Orthogonal Hexagonally Symmetric Low-Pass Filters ⋮ Symmetric orthonormal complex wavelets with masks of arbitrarily high linear-phase moments and sum rules ⋮ Multivariate refinable Hermite interpolant ⋮ On polynomial symbols for subdivision schemes ⋮ Hexagonally symmetric orthogonal filters with \(\sqrt{3}\) refinement ⋮ Quasi-tight framelets with high vanishing moments derived from arbitrary refinable functions ⋮ Symbols and exact regularity of symmetric pseudo-splines of any arity ⋮ Symmetric canonical quincunx tight framelets with high vanishing moments and smoothness ⋮ Multivariate generalized Hermite subdivision schemes ⋮ Some compactly supported Riesz wavelets associated to any Ed(2)(ℤ) dilation ⋮ d-Refinable (dual) pseudo-splines and their regularities ⋮ Multiwavelet sampling theorem in Sobolev spaces ⋮ Analysis and convergence of Hermite subdivision schemes ⋮ Wavelet Sparse Regularization for Manifold-Valued Data ⋮ Anisotropic subdivision with the optimal reproduction property ⋮ Decompositions of trigonometric polynomials with applications to multivariate subdivision schemes ⋮ Small support spline Riesz wavelets in low dimensions ⋮ Quasilinear subdivision schemes with applications to ENO interpolation. ⋮ Symmetric interpolatory dual wavelet frames ⋮ Hermite-like interpolating refinable function vector and its application in signal recovering ⋮ Vector cascade algorithms and refinable function vectors in Sobolev spaces ⋮ Approximation by frame-like wavelet systems ⋮ Multiple multivariate subdivision schemes: matrix and operator approaches ⋮ Vector multivariate subdivision schemes: comparison of spectral methods for their regularity analysis ⋮ Finiteness conjecture and subdivision ⋮ Subdivision schemes with general dilation in the geometric and nonlinear setting ⋮ Bivariate two-band wavelets demystified ⋮ Stability analysis of biorthogonal multiwavelets whose duals are not in \(L_2\) and its application to local semiorthogonal lifting ⋮ Sampling error analysis and some properties of non-bandlimited signals that are reconstructed by generalized sinc functions ⋮ Symmetry property and construction of wavelets with a general dilation matrix ⋮ On symmetric compactly supported wavelets with vanishing moments associated to \(E_d^{(2)}(\mathbb{Z})\) dilations ⋮ From frame-like wavelets to wavelet frames keeping approximation properties and symmetry ⋮ Symmetric multivariate orthogonal refinable functions ⋮ Noninterpolatory Hermite subdivision schemes ⋮ Pairs of frequency-based nonhomogeneous dual wavelet frames in the distribution space ⋮ Differential and falsified sampling expansions ⋮ Regularity of refinable functions with exponentially decaying masks ⋮ Sampling approximation by framelets in Sobolev space and its application in modifying interpolating error ⋮ Compactly supported orthonormal complex wavelets with dilation 4 and symmetry ⋮ Dual wavelet frames and Riesz bases in Sobolev spaces ⋮ Optimal $C^2$ two-dimensional interpolatory ternary subdivision schemes with two-ring stencils ⋮ Compactly supported tight wavelet frames and orthonormal wavelets of exponential decay with a general dilation matrix ⋮ Analysis and construction of multivariate interpolating refinable function vectors ⋮ Construction of nonseparable dual \(\varOmega \)-wavelet frames in \(L^2(\mathbb R^s)\) ⋮ Quasi-interpolating bivariate dual \(\sqrt{ 2}\)-subdivision using 1D stencils ⋮ Regularity of anisotropic refinable functions ⋮ Convergence analysis of Hermite subdivision schemes of any arity ⋮ The regularity analysis of multivariate refinable functions from generalized Bernstein bases and application in remote sensing image compression ⋮ Designing composite triangular subdivision schemes ⋮ \(C^2\) subdivision over triangulations with one extraordinary point ⋮ Subdivision schemes, network flows and linear optimization
This page was built for publication: Computing the Smoothness Exponent of a Symmetric Multivariate Refinable Function
