Ternary six-point interpolating subdivision scheme

DOI10.1134/S1995080208030062zbMath1221.65045OpenAlexW2046890895MaRDI QIDQ2378866

K. Faheem, Ghulam Mustafa

Publication date: 14 January 2009

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080208030062

zbMATH Keywords

smoothnessshape parameterLaurent polynomialinterpolating subdivision scheme

Mathematics Subject Classification ID

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

Related Items (5)

The inequalities for the analysis of a class of ternary refinement schemes ⋮ Convexity preservation of six point \(C^{2}\) interpolating subdivision scheme ⋮ \((2n - 1)\)-point ternary approximating and interpolating subdivision schemes ⋮ Polynomial reproduction for univariate subdivision schemes of any arity ⋮ A family of even-point ternary approximating schemes

Cites Work

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• An interpolating 4-point \(C^{2}\) ternary non-stationary subdivision scheme with tension control
• A new three-point approximating \(C^{2}\) subdivision scheme
• A 4-point interpolatory subdivision scheme for curve design
• Using Laurent polynomial representation for the analysis of non-uniform binary subdivision schemes
• Simple Regularity Criteria for Subdivision Schemes
• An interpolating 4-point \(C^2\) ternary stationary subdivision scheme

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