A non-stationary combined subdivision scheme generating exponential polynomials

DOI10.1016/J.AMC.2017.05.066zbMath1426.65030OpenAlexW2734640797WikidataQ115598224 ScholiaQ115598224MaRDI QIDQ1740045

Baoxing Zhang, Hong-Chan Zheng

Publication date: 29 April 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2017.05.066

zbMATH Keywords

convergencecombined subdivisionnon-stationaryexponential polynomial generation/reproduction

Mathematics Subject Classification ID

Numerical interpolation (65D05) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (7)

A non-stationary combined ternary 5-point subdivision scheme with \(C^4\) continuity ⋮ Construction of a family of non-stationary combined ternary subdivision schemes reproducing exponential polynomials ⋮ A new approach to increase the flexibility of curves and regular surfaces produced by 4-point ternary subdivision scheme ⋮ Interpolatory subdivision schemes with the optimal approximation order ⋮ Nonstationary interpolatory subdivision schemes reproducing high-order exponential polynomials ⋮ A generalized cubic exponential B-spline scheme with shape control ⋮ A family of binary univariate nonstationary quasi-interpolatory subdivision reproducing exponential polynomials

Cites Work

• Unnamed Item
• Approximation order and approximate sum rules in subdivision
• Complete characterization of the regions of \(C^2\) and \(C^3\) convergence of combined ternary 4-point subdivision schemes
• From approximating to interpolatory non-stationary subdivision schemes with the same generation properties
• Improving smoothness and accuracy of modified butterfly subdivision scheme
• A non-stationary uniform tension controlled interpolating 4-point scheme reproducing conics
• On interpolatory subdivision from approximating subdivision scheme
• Affine combination of B-spline subdivision masks and its non-stationary counterparts
• A 4-point interpolatory subdivision scheme for curve design
• Convergence of univariate non-stationary subdivision schemes via asymptotic similarity
• Analysis of asymptotically equivalent binary subdivision schemes
• Reproduction of exponential polynomials by multivariate non-stationary subdivision schemes with a general dilation matrix
• From approximating subdivision schemes for exponential splines to high-performance interpolating algorithms

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