The four-point interpolation subdivision curve is neither convex nor concave in all but one case

DOI10.1016/j.cagd.2022.102073zbMath1489.65034OpenAlexW4214607688MaRDI QIDQ2127697

Ren-Jiang Zhang

Publication date: 21 April 2022

Published in: Computer Aided Geometric Design (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cagd.2022.102073

zbMATH Keywords

computer aided geometric designsubdivision curveconvexity preserving condition

Mathematics Subject Classification ID

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

Cites Work

• Convexity preservation of five-point binary subdivision scheme with a parameter
• Convexity preservation of the interpolating four-point \(C^{2}\) ternary stationary subdivision scheme
• A combined ternary 4-point subdivision scheme
• A 4-point interpolatory subdivision scheme for curve design
• Convexity preserving interpolatory subdivision schemes
• Convexity-preserving interpolatory subdivision
• Convexity preservation of the four-point interpolatory subdivision scheme
• Interpolation through an iterative scheme
• A few conjectures on a four-point interpolatory subdivision scheme
• Convexity preserving interpolatory subdivision with conic precision

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