On vector subdivision
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Publication:1297945
DOI10.1007/PL00004676zbMath0930.65007OpenAlexW1981262844MaRDI QIDQ1297945
Charles A. Micchelli, Thomas Sauer
Publication date: 9 February 2000
Published in: Mathematische Zeitschrift (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/pl00004676
Numerical smoothing, curve fitting (65D10) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Numerical methods for wavelets (65T60)
Related Items (38)
Interpolatory rank-1 vector subdivision schemes ⋮ Existence and construction of compactly supported biorthogonal multiple vector-valued wavelets ⋮ Full rank interpolatory subdivision schemes: Kronecker, filters and multiresolution ⋮ Convergence of multivariate non-stationary vector subdivision schemes ⋮ A study of biorthogonal multiple vector-valued wavelets ⋮ Existence and characterization of orthogonal multiple vector-valued wavelets with three-scale ⋮ Vector subdivision schemes and their convergence for arbitrary matrix masks ⋮ Multivariate generalized Hermite subdivision schemes ⋮ Triangular \(\sqrt 3\)-subdivision schemes: The regular case ⋮ Analysis and convergence of Hermite subdivision schemes ⋮ Convergence of irregular Hermite subdivision schemes ⋮ Vector cascade algorithms and refinable function vectors in Sobolev spaces ⋮ Filters for anisotropic wavelet decompositions ⋮ Analysis of non-stationary Hermite subdivision schemes reproducing exponential polynomials ⋮ From Hermite to stationary subdivision schemes in one and several variables ⋮ Dual Hermite subdivision schemes of de Rham-type ⋮ INTERPOLATING SCALING VECTORS ⋮ \(C^{1}\) analysis of some 2D subdivision schemes refining point-normal pairs with the circle average ⋮ Generalized Taylor operators and polynomial chains for Hermite subdivision schemes ⋮ Factorization of Hermite subdivision operators from polynomial over-reproduction ⋮ Extended Hermite subdivision schemes ⋮ Multifilters and prefilters: Uniqueness and algorithmic aspects ⋮ Multivariate refinable functions, differences and ideals -- a simple tutorial ⋮ Full rank positive matrix symbols: interpolation and orthogonality ⋮ Convergence of subdivision schemes and smoothness of limit functions ⋮ Full rank interpolatory subdivision: a first encounter with the multivariate realm ⋮ On the convergence of convolved vector subdivision schemes ⋮ Matrix-valued subdivision schemes for generating surfaces with extraordinary vertices ⋮ Regularity of multivariate vector subdivision schemes ⋮ Differentiability of multivariate refinable functions and factorization ⋮ The independence of initial vectors in the subdivision schemes ⋮ Interpolatory wavelets for manifold-valued data ⋮ Exact evaluation of limits and tangents for non-polynomial subdivision schemes ⋮ Pointwise convergence of bounded cascade sequences ⋮ Convergence analysis of Hermite subdivision schemes of any arity ⋮ Stability implies convergence of cascade algorithms in Sobolev space ⋮ Wavelets for multichannel signals ⋮ Convergence of cascade algorithms in Sobolev spaces for perturbed refinement masks
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