A formula for estimating the deviation of a binary interpolatory subdivision curve from its data polygon

DOI10.1016/J.AMC.2017.01.035zbMath1411.65033OpenAlexW2586215696MaRDI QIDQ1735397

Chongyang Deng, Wenbiao Jin, Ya-Juan Li, Hui-Xia Xu

Publication date: 28 March 2019

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

Full work available at URL: https://doi.org/10.1016/j.amc.2017.01.035

zbMATH Keywords

deviationdata polygonbinary interpolatory subdivision scheme

Mathematics Subject Classification ID

Numerical interpolation (65D05) Interpolation in approximation theory (41A05) Computer-aided design (modeling of curves and surfaces) (65D17)

Cites Work

• Unnamed Item
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• A 4-point interpolatory subdivision scheme for curve design
• Symmetric iterative interpolation processes
• Best bounds on the approximation of polynomials and splines by their control structure
• An explicit formula for the control points of periodic uniform spline interpolants and its application
• Estimating error bounds for binary subdivision curves/surfaces
• Computational formula of depth for Catmull-Clark subdivision surfaces
• Stationary binary subdivision schemes using radial basis function interpolation
• Error bounds for Loop subdivision surfaces
• Estimating error bounds for tensor product binary subdivision volumetric model
• Tight linear envelopes for splines

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