\(C^2\) quadratic trigonometric polynomial curves with local bias

DOI10.1016/j.cam.2004.10.008zbMath1075.65024OpenAlexW2064919126MaRDI QIDQ1779425

Xu-li Han

Publication date: 1 June 2005

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

Full work available at URL: https://doi.org/10.1016/j.cam.2004.10.008

zbMATH Keywords

B-spline curveShape parameterTrigonometric polynomialCurve representations

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (7)

A practical method for generating trigonometric polynomial surfaces over triangular domains ⋮ Data visualization using rational trigonometric spline ⋮ A class of spline curves with four local shape parameters ⋮ An extension of the Bézier model ⋮ Curve construction based on four \(\alpha \beta\)-Bernstein-like basis functions ⋮ Cubic trigonometric nonuniform spline curves and surfaces ⋮ \(GC^1\) shape-preserving trigonometric surfaces

Cites Work

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• A stable recurrence relation for trigonometric B-splines
• Identities for trigonometric B-splines with an application to curve design
• Multivariate trigonometric B-splines
• Shape preserving representations for trigonometric polynomial curves
• Trigonometric Bézier and Stancu polynomials over intervals and triangles
• Quadratic trigonometric polynomial curves with a shape parameter
• Control curves and knot intersection for trigonometric splines
• Cubic trigonometric polynomial curves with a shape parameter
• A rational cubic spline with tension
• Quartic Beta-splines
• Local Control of Bias and Tension in Beta-splines
• Multiple-knot and rational cubic beta-splines
• Piecewise quadratic trigonometric polynomial curves

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