A unified three point approximating subdivision scheme

DOI10.1007/s10496-011-0010-1zbMath1249.65030OpenAlexW1996735426MaRDI QIDQ2886078

Faheem Khan, Ghulam Mustafa, M. Afzal, Muhammad Sadiq Hashmi

Publication date: 1 June 2012

Published in: Analysis in Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10496-011-0010-1

zbMATH Keywords

shape parametersCADLaurent polynomialtensor product surfacescurve and surface designapproximating subdivision scheme

Mathematics Subject Classification ID

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

Cites Work

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• Convergence, error estimation and some properties of four-point interpolation subdivision scheme
• A family of subdivision schemes with cubic precision
• A new three-point approximating \(C^{2}\) subdivision scheme
• A 4-point interpolatory subdivision scheme for curve design
• C-curves: An extension of cubic curves
• Exponentials reproducing subdivision schemes
• Using Laurent polynomial representation for the analysis of non-uniform binary subdivision schemes
• ON THE GEOMETRY OF RECURSIVE SUBDIVISION
• A subdivision scheme for surfaces of revolution

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