A family of quasi-cubic blended splines and applications

DOI10.1631/jzus.2006.A1550zbMath1108.65012MaRDI QIDQ863835

Benyue Su, Jie-qing Tan

Publication date: 2 February 2007

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

zbMATH Keywords

numerical examplestrigonometric polynomialsB-spline curvestensor product surfacescylindrical surfaceslocal parametersspherical surfaces\(C^2\) continuityblended spline interpolationglobal parametersquasi-cubic splinetranscendental surfaces

Mathematics Subject Classification ID

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

Cites Work

• Harmonic rational Bézier curves, \(p\)-Bézier curves and trigonometric polynomials
• C-curves: An extension of cubic curves
• Shape preserving representations for trigonometric polynomial curves
• Trigonometric Bézier and Stancu polynomials over intervals and triangles
• Shape preserving alternatives to the rational Bézier model
• Blended Hermite interpolants

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