A \(C^6\) approximating subdivision scheme

DOI10.1016/j.aml.2007.07.028zbMath1152.65411OpenAlexW2011428731MaRDI QIDQ998577

Shahid S. Siddiqi, Nadeem Ahmad

Publication date: 29 January 2009

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2007.07.028

zbMATH Keywords

convergencesmoothnessLaurent polynomialmaskapproximating subdivision scheme

Mathematics Subject Classification ID

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

Related Items (9)

Convexity preservation of five-point binary subdivision scheme with a parameter ⋮ A divided differences based medium to analyze smoothness of the binary bivariate refinement schemes ⋮ Convexity preservation of six point \(C^{2}\) interpolating subdivision scheme ⋮ Analysis of the Gibbs phenomenon in stationary subdivision schemes ⋮ Analysis of a 6-point binary subdivision scheme ⋮ A ternary three-point scheme for curve designing ⋮ A combined approximating and interpolating subdivision scheme with \(C^2\) continuity ⋮ The \(m\)-point approximating subdivision scheme ⋮ Unnamed Item

Cites Work

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• Sur une courbe plane
• A new three-point approximating \(C^{2}\) subdivision scheme
• A 4-point interpolatory subdivision scheme for curve design
• Symmetric iterative interpolation processes
• Fractal range of a 3-point ternary interpolatory subdivision scheme with two parameters
• A proof of the smoothness of the 6-point interpolatory scheme
• An interpolating 4-point \(C^2\) ternary stationary subdivision scheme

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