A combined approximating and interpolating subdivision scheme with \(C^2\) continuity

DOI10.1016/J.AML.2012.05.012zbMath1252.65044OpenAlexW2082719700MaRDI QIDQ714548

Xiaonan Luo, Jun Pan, Shujin Lin

Publication date: 11 October 2012

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

Full work available at URL: https://doi.org/10.1016/j.aml.2012.05.012

zbMATH Keywords

interpolationnumerical examplesapproximationcombined subdivisioncontrol polygonshape control parameters

Mathematics Subject Classification ID

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

Related Items (11)

Complete characterization of the regions of \(C^2\) and \(C^3\) convergence of combined ternary 4-point subdivision schemes ⋮ Four point interpolatory-corner cutting subdivision ⋮ A non-stationary combined ternary 5-point subdivision scheme with \(C^4\) continuity ⋮ A new approach to increase the flexibility of curves and regular surfaces produced by 4-point ternary subdivision scheme ⋮ A combined approximating and interpolating ternary 4-point subdivision scheme ⋮ Six-point subdivision schemes with cubic precision ⋮ A combined binary 6-point subdivision scheme ⋮ A combined ternary 4-point subdivision scheme ⋮ Interpolatory subdivision schemes with the optimal approximation order ⋮ Recursive process for constructing the refinement rules of new combined subdivision schemes and its extended form ⋮ A family of integer-point ternary parametric subdivision schemes

Cites Work

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• An interpolating 4-point \(C^{2}\) ternary non-stationary subdivision scheme with tension control
• Shape controlled interpolatory ternary subdivision
• A unified framework for interpolating and approximating univariate subdivision
• A \(C^6\) approximating subdivision scheme
• An interpolating 4-point \(C^2\) ternary stationary subdivision scheme

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