scientific article; zbMATH DE number 7544006

DOI10.3770/j.issn:2095-2651.2022.02.011zbMath1499.65058MaRDI QIDQ5081915

Yong-Xia Hao, Lianxing Liao

Publication date: 17 June 2022

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

\(G^1\) Hermite interpolationPythagorean-hodograph curvealgebraic hyperbolic Bézier curve

Mathematics Subject Classification ID

Computer science aspects of computer-aided design (68U07) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Computer-aided design (modeling of curves and surfaces) (65D17)

Cites Work

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• Geometric Hermite interpolation by logarithmic arc splines
• Construction of \(G^1\) planar Hermite interpolants with prescribed arc lengths
• Existence of Pythagorean-hodograph quintic interpolants to spatial \(G^1\) Hermite data with prescribed arc lengths
• A class of Bézier-like curves
• Geometric Hermite curves with minimum strain energy
• Shape preserving alternatives to the rational Bézier model
• Performance analysis of CNC interpolators for time-dependent feedrates along PH curves

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