A family of non-stationary subdivision schemes reproducing exponential polynomials

DOI10.1016/j.jmaa.2013.01.026zbMath1267.65017OpenAlexW1968140922MaRDI QIDQ1947280

Jungho Yoon, Byeongseon Jeong, Yeon Ju Lee

Publication date: 22 April 2013

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2013.01.026

zbMATH Keywords

numerical examplesHölder regularityconicgeometric modelingexponential B-splineexponential polynomial reproductionspiralnon-stationary subdivision schemecircular shapeexponential quasi-spline

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (16)

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 ⋮ Mixed hyperbolic/trigonometric non-stationary subdivision scheme ⋮ A non-uniform corner-cutting subdivision scheme with an improved accuracy ⋮ Construction of a family of non-stationary combined ternary subdivision schemes reproducing exponential polynomials ⋮ Optimized dual interpolating subdivision schemes ⋮ Family of \(a\)-ary univariate subdivision schemes generated by Laurent polynomial ⋮ Building blocks for designing arbitrarily smooth subdivision schemes with conic precision ⋮ A family of non-uniform subdivision schemes with variable parameters for curve design ⋮ Reproduction of exponential polynomials by multivariate non-stationary subdivision schemes with a general dilation matrix ⋮ Nonstationary interpolatory subdivision schemes reproducing high-order exponential polynomials ⋮ Isogeometric boundary element analysis based on UE-splines ⋮ A generalized cubic exponential B-spline scheme with shape control ⋮ A family of binary univariate nonstationary quasi-interpolatory subdivision reproducing exponential polynomials ⋮ Annihilation operators for exponential spaces in subdivision

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