Convexity preservation of six point \(C^{2}\) interpolating subdivision scheme

DOI10.1016/j.amc.2015.04.024zbMath1410.65052OpenAlexW1634224793MaRDI QIDQ1664283

Shahid S. Siddiqi, Tayyaba Noreen

Publication date: 24 August 2018

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2015.04.024

zbMATH Keywords

interpolationconvexitysubdivision schemeTernary six-point scheme

Mathematics Subject Classification ID

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

Related Items (1)

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Cites Work

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• Convexity preservation of five-point binary subdivision scheme with a parameter
• Analysis of a 6-point binary subdivision scheme
• Convexity preservation of the interpolating four-point \(C^{2}\) ternary stationary subdivision scheme
• A \(C^6\) approximating subdivision scheme
• A 4-point interpolatory subdivision scheme for curve design
• Shape preserving interpolatory subdivision schemes for nonuniform data
• Convexity preservation of the four-point interpolatory subdivision scheme
• Ternary six-point interpolating subdivision scheme
• A ternary 4-point approximating subdivision scheme
• Proving convexity preserving properties of interpolatory subdivision schemes through reconstruction operators
• An interpolating 4-point \(C^2\) ternary stationary subdivision scheme

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