Polynomial reproduction by symmetric subdivision schemes
From MaRDI portal
Publication:999275
DOI10.1016/j.jat.2008.04.008zbMath1159.41003OpenAlexW2060903027MaRDI QIDQ999275
Kai Hormann, Zuowei Shen, N. Richter-Dyn, Malcolm A. Sabin
Publication date: 3 February 2009
Published in: Journal of Approximation Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jat.2008.04.008
subdivision schemesapproximation orderquasi-interpolationpolynomial reproductionpolynomial generation
Related Items
Exponential pseudo-splines: looking beyond exponential B-splines, Anisotropic bivariate subdivision with applications to multigrid, Biorthogonal wavelets and tight framelets from smoothed pseudo splines, Non-uniform interpolatory subdivision schemes with improved smoothness, Approximation order and approximate sum rules in subdivision, A Chaikin-based variant of Lane-Riesenfeld algorithm and its non-tensor product extension, Univariate subdivision schemes for noisy data with geometric applications, Analysis and construction of a family of refinable functions based on generalized Bernstein polynomials, A non-uniform corner-cutting subdivision scheme with an improved accuracy, Symbols and exact regularity of symmetric pseudo-splines of any arity, Non-stationary subdivision for exponential polynomials reproduction, Symmetric canonical quincunx tight framelets with high vanishing moments and smoothness, Efficient evaluation of subdivision schemes with polynomial reproduction property, Complex wavelets and framelets from pseudo splines, Optimized dual interpolating subdivision schemes, On a stable family of four-point nonlinear subdivision schemes eliminating the Gibbs phenomenon, d-Refinable (dual) pseudo-splines and their regularities, On interpolatory subdivision from approximating subdivision scheme, Analysis of a 6-point binary subdivision scheme, Anisotropic subdivision with the optimal reproduction property, On a family of non-oscillatory subdivision schemes having regularity \(C^r\) with \(r > 1\), Polynomial reproduction for univariate subdivision schemes of any arity, Exponential polynomial reproducing property of non-stationary symmetric subdivision schemes and normalized exponential B-splines, Sampling Series, Refinable Sampling Kernels, and Frequency Band Limited Functions, A new approach to increase the flexibility of curves and regular surfaces produced by 4-point ternary subdivision scheme, An algebraic approach to polynomial reproduction of Hermite subdivision schemes, Repeated local operations and associated interpolation properties of dual \(2n\)-point subdivision schemes, On interpolatory subdivision symbol formulation and parameter convergence intervals, A combined approximating and interpolating ternary 4-point subdivision scheme, Analysis of subdivision schemes for nets of functions by proximity and controllability, Algebraic conditions on non-stationary subdivision symbols for exponential polynomial reproduction, From approximating to interpolatory non-stationary subdivision schemes with the same generation properties, Polynomial reproduction of vector subdivision schemes, Unified framework of approximating and interpolatory subdivision schemes for construction of class of binary subdivision schemes, Normal multi-scale transforms for curves, Wavelets and framelets from dual pseudo splines, Generalized pseudo-Butterworth refinable functions, Symmetric four-directional bivariate pseudo-spline symbols, Regularity of generalized Daubechies wavelets reproducing exponential polynomials with real-valued parameters, Dual univariate \(m\)-ary subdivision schemes of de Rham-type, Scalar multivariate subdivision schemes and box splines, Affine combination of B-spline subdivision masks and its non-stationary counterparts, Properties of dual pseudo-splines, Dual univariate interpolatory subdivision of every arity: algebraic characterization and construction, From symmetric subdivision masks of Hurwitz type to interpolatory subdivision masks, Nonstationary interpolatory subdivision schemes reproducing high-order exponential polynomials, A family of binary univariate nonstationary quasi-interpolatory subdivision reproducing exponential polynomials, Gibbs phenomenon for \(p\)-ary subdivision schemes, Construction of a family of non-stationary biorthogonal wavelets, Bezout-like polynomial equations associated with dual univariate interpolating subdivision schemes, Quasi-interpolating bivariate dual \(\sqrt{ 2}\)-subdivision using 1D stencils, Fundamental functions for local interpolation of quadrilateral meshes with extraordinary vertices, Linear Multiscale Transforms Based on Even-Reversible Subdivision Operators
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A family of subdivision schemes with cubic precision
- Construction of biorthogonal wavelets from pseudo-splines
- Pseudo-splines, wavelets and framelets
- Symmetric iterative interpolation processes
- Framelets: MRA-based constructions of wavelet frames
- Polynomial generation and quasi-interpolation in stationary non-uniform subdivision
- Stationary subdivision schemes reproducing polynomials
- Subdivision schemes in geometric modelling
- Stationary subdivision
- Linear independence of pseudo-splines
- A subdivision scheme for surfaces of revolution
