Convexity-preserving interpolation of trigonometric polynomial curves with a shape parameter

DOI10.1631/jzus.2007.A1199zbMath1210.65023OpenAlexW2007794454MaRDI QIDQ926676

Yong-Juan Pan, Guo-Jin Wang

Publication date: 20 May 2008

Published in: Journal of Zhejiang University. Science A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1631/jzus.2007.a1199

zbMATH Keywords

interpolationshape parameterconvexity-preserving\(\alpha\)-trigonometric polynomial curvescomputer aided geometric design (CAGD)

Mathematics Subject Classification ID

Numerical interpolation (65D05) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (2)

Shape-preserving polynomial interpolation scheme ⋮ Shape preserving interpolation using \(C^2\) rational cubic spline

Cites Work

• Unnamed Item
• A stable recurrence relation for trigonometric B-splines
• Identities for trigonometric B-splines with an application to curve design
• Interpolation with slackness and continuity control and convexity-preservation using singular blending
• C-curves: An extension of cubic curves
• Shape preserving representations for trigonometric polynomial curves
• Two different forms of C-B-splines
• Trigonometric Bézier and Stancu polynomials over intervals and triangles
• Control curves and knot intersection for trigonometric splines
• Nuat B-spline curves
• Unifying C-curves and H-curves by extending the calculation to complex numbers
• Optimal properties of the uniform algebraic trigonometric B-splines
• Extending cubic uniform B-splines by unified trigonometric and hyperbolic basis

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