Interpolating refinable functions and $n_s$-step interpolatory subdivision schemes

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Computing methodologies for image processing (68U10) Numerical interpolation (65D05) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Interpolation in approximation theory (41A05) Computer-aided design (modeling of curves and surfaces) (65D17)

Cites Work

Symmetric orthonormal complex wavelets with masks of arbitrarily high linear-phase moments and sum rules
A 4-point interpolatory subdivision scheme for curve design
Symmetric iterative interpolation processes
Symmetric orthonormal scaling functions and wavelets with dilation factor 4
Vector cascade algorithms and refinable function vectors in Sobolev spaces
Building refinable functions from their values at integers
Framelets and wavelets. Algorithms, analysis, and applications
Wavelets on intervals derived from arbitrary compactly supported biorthogonal multiwavelets
Bezout-like polynomial equations associated with dual univariate interpolating subdivision schemes
Dual univariate $m$-ary subdivision schemes of de Rham-type
Interpolating $m$-refinable functions with compact support: the second generation class
Dual univariate interpolatory subdivision of every arity: algebraic characterization and construction
Subdivision schemes in geometric modelling
Stationary subdivision
Multivariate Refinement Equations and Convergence of Subdivision Schemes
Optimal Interpolatory Subdivision Schemes in Multidimensional Spaces
Design of Hermite Subdivision Schemes Aided by Spectral Radius Optimization
Computing the Smoothness Exponent of a Symmetric Multivariate Refinable Function
Properties of Discrete Framelet Transforms
Analysis and Construction of Optimal Multivariate Biorthogonal Wavelets with Compact Support
Optimal $C^2$ two-dimensional interpolatory ternary subdivision schemes with two-ring stencils
Vector subdivision schemes and their convergence for arbitrary matrix masks
Optimized dual interpolating subdivision schemes

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Interpolating refinable functions and \(n_s\)-step interpolatory subdivision schemes