A non-stationary binary three-point approximating subdivision scheme

DOI10.1016/j.amc.2015.12.002zbMath1410.65056OpenAlexW2214901025MaRDI QIDQ670983

Jie-qing Tan, Guangyue Tong, Jia-ze Sun

Publication date: 20 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.2015.12.002

zbMATH Keywords

binarynon-stationary\(C^{3}\)-continuousapproximating subdivision scheme

Mathematics Subject Classification ID

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

Related Items (5)

Family of odd point non-stationary subdivision schemes and their applications ⋮ Unified framework of approximating and interpolatory subdivision schemes for construction of class of binary subdivision schemes ⋮ A nonstationary ternary 4-point shape-preserving subdivision scheme ⋮ A generalized cubic exponential B-spline scheme with shape control ⋮ A new class of \(2m\)-point binary non-stationary subdivision schemes

Cites Work

• Unnamed Item
• Convexity preservation of five-point binary subdivision scheme with a parameter
• Binary 3-point and 4-point non-stationary subdivision schemes using hyperbolic function
• Bivariate interpolation based on univariate subdivision schemes
• An approximating \(C^{2}\) non-stationary subdivision scheme
• A non-stationary uniform tension controlled interpolating 4-point scheme reproducing conics
• An interpolating 4-point \(C^{2}\) ternary non-stationary subdivision scheme with tension control
• Improved binary four point subdivision scheme and new corner cutting scheme
• A 4-point interpolatory subdivision scheme for curve design
• Analysis of asymptotically equivalent binary subdivision schemes
• Construction of \(m\)-point binary approximating subdivision schemes
• A new four-point shape-preserving \(C^3\) subdivision scheme

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