DOI10.1016/0024-3795(89)90495-3zbMath0668.65011OpenAlexW2017721907MaRDI QIDQ1118332
Hartmut Prautzsch, Charles A. Micchelli
Publication date: 1989
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0024-3795(89)90495-3
Subdivision models for varying-resolution and generalized perturbations,
The inequalities for the analysis of a class of ternary refinement schemes,
Estimates for the joint spectral radius,
Spectral theory of regular sequences,
Positivity of refinable functions defined by nonnegative finite masks,
Non-stationary versions of fixed-point theory, with applications to fractals and subdivision,
Convergence of subdivision and degree elevation,
Linear subdivision,
Subdivision schemes in \(L_ p\) spaces,
How does truncation of the mask affect a refinable function?,
Analysis of uniform binary subdivision schemes for curve design,
Matrix semigroups with constant spectral radius,
Multivariate refinement equation with nonnegative masks,
General triangular midpoint subdivision,
Chaos games for wavelet analysis and wavelet synthesis,
A geometric approach to the cascade approximation operator for wavelets,
Asymptotic expansions for linear homogeneous divide-and-conquer recurrences: algebraic and analytic approaches collated,
Joint spectral radius, dilation equations, and asymptotic behavior of radix-rational sequences,
Biorthogonal bases of compactly supported wavelets,
Convergent bivariate subdivision scheme with nonnegative mask whose support is non-convex,
Convexity preservation of the interpolating four-point \(C^{2}\) ternary stationary subdivision scheme,
Exponential splines and minimal-support bases for curve representation,
Point-normal subdivision curves and surfaces,
Sets of nonnegative matrices without positive products,
\(L_p\)-solutions of vector refinement equations with general dilation matrix,
Lifespan in a primitive Boolean linear dynamical system,
A useful result related with zeros of continuous compactly supported mother wavelets,
The Euler binary partition function and subdivision schemes,
The Bernstein polynomial basis: a centennial retrospective,
Subdivision schemes for iterated function systems,
Using parameters to increase smoothness of curves and surfaces generated by subdivision,
REFINEMENT EQUATIONS AND CORRESPONDING LINEAR OPERATORS,
Descartes systems from corner cutting,
Multiple refinable Hermite interpolants,
Estimates for eigenvalues of stochastic matrices,
Analyzing midpoint subdivision,
Refinement equations with nonnegative coefficients,
Sets of matrices all infinite products of which converge,
Bounded semigroups of matrices,
Hölder regularity of subdivision schemes and of vector scaling functions,
Nonuniform corner cutting,
On multivariate subdivision schemes with nonnegative finite masks,
A new characterization of convergent multivariate subdivision schemes with nonnegative masks,
The optimal coefficients in Daubechies wavelets,
Subdivision schemes with nonnegative masks,
Kriging-based interpolatory subdivision schemes,
Some sufficient conditions for convergent multivariate subdivision schemes with nonnegative finite masks,
A new computable sufficient condition for the convergence of subdivision schemes with nonnegative masks,
SIA matrices and non-negative subdivision,
Spectral models for orthonormal wavelets and multiresolution analysis of \(L^{2}(\mathbb R)\),
On the wavelets having Gevrey regularities and subexponential decays,
Optimal norms and the computation of joint spectral radius of matrices,
Extremal \(L_p\)-norms of linear operators and self-similar functions,
Continuous and differentiable multidimensional iterative interpolation,
\(L_p\) solutions of refinement equations,
Kriging-based subdivision schemes: application to the reconstruction of non-regular environmental data,
On the joint spectral radius of matrices of order 2 with equal spectral radius,
Computational approach to solvability of refinement equations,
Spectral factorization of 2-block Toeplitz matrices and refinement equations,
A generalization of the mean size formula of wavelet packets in \(L_p\),
Subdivision schemes and refinement equations with nonnegative masks,
Analytic methods for reachability problems,
On a Refinement Type Equation,
Matrix refinement equations: Continuity and smoothness,
Two classes of Darboux-like, Baire one functions of two variables,
Refinement type equations and Grincevičjus series,
Piecewise-smooth refinable functions,
Spectral Algorithms for MRA Orthonormal Wavelets,
\(C^1\)-continuity of the generalized four-point scheme,
Mean size formula of wavelet subdivision tree on Heisenberg group,
Joint spectral radius and Hölder regularity of wavelets,
Compactly supported refinable distributions in Triebel-Lizorkin spaces and Besov spaces,
Refinable Functions: Positivity and Interpolation,
Vector subdivision schemes and multiple wavelets,
De Rham's singular function, two-scale difference equations and Appell polynomials,
Dilation equations and Markov operators,
Smooth multiwavelet duals of Alpert bases by moment-interpolating refinement,
The Sobolev regularity of refinable functions,
Spectral properties of two-slanted matrices,
Characterization of joint spectral radius via trace,
Convergence rates of vector cascade algorithms in \(L_p\),
Compactly supported solutions of two-scale difference equations,
Spectra of subdivision operators