Exponential polynomial reproducing property of non-stationary symmetric subdivision schemes and normalized exponential B-splines

DOI10.1007/s10444-011-9253-9zbMath1264.41013OpenAlexW2043444982MaRDI QIDQ1949305

Byeongseon Jeong, Jungho Yoon, Hong Oh Kim, Yeon Ju Lee

Publication date: 6 May 2013

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10444-011-9253-9

zbMATH Keywords

normalizationapproximation orderexponential B-splineexponential polynomial reproductionnon-stationary subdivision scheme

Mathematics Subject Classification ID

Spline approximation (41A15)

Related Items (13)

Exponential pseudo-splines: looking beyond exponential B-splines ⋮ Approximation order and approximate sum rules in subdivision ⋮ A shape preserving \(C^2\) non-linear, non-uniform, subdivision scheme with fourth-order accuracy ⋮ A non-uniform corner-cutting subdivision scheme with an improved accuracy ⋮ Building blocks for designing arbitrarily smooth subdivision schemes with conic precision ⋮ A family of non-uniform subdivision schemes with variable parameters for curve design ⋮ Creating a bridge between cardinal B\(r\)-spline fundamental functions for interpolation and subdivision ⋮ Reproduction of exponential polynomials by multivariate non-stationary subdivision schemes with a general dilation matrix ⋮ An annihilator-based strategy for the automatic detection of exponential polynomial spaces in subdivision ⋮ Nonstationary interpolatory subdivision schemes reproducing high-order exponential polynomials ⋮ A family of binary univariate nonstationary quasi-interpolatory subdivision reproducing exponential polynomials ⋮ Annihilation operators for exponential spaces in subdivision ⋮ A practical method for computing with piecewise Chebyshevian splines

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