Geometric construction of energy-minimizing Béezier curves

DOI10.1007/s11432-011-4294-8zbMath1267.65021OpenAlexW2036730460MaRDI QIDQ350878

Wenyu Chen, Gang Xu, Guo-zhao Wang

Publication date: 3 July 2013

Published in: Science China. Information Sciences (Search for Journal in Brave)

Full work available at URL: http://engine.scichina.com/doi/10.1007/s11432-011-4294-8

zbMATH Keywords

geometric constructionminimal energycircle-like curvescurve designinterpolation with constraints

Mathematics Subject Classification ID

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

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Cites Work

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• Fairing spline curves and surfaces by minimizing energy
• An approximation of circular arcs by quartic Bézier curves
• Interactive design of constrained variational curves
• A locally controllable spline with tension for interactive curve design
• Geometric spline curves
• Interpolating curves with gradual changes in curvature
• Bézier curves of positive curvature
• Method to approximate the space curve of least energy and prescribed length
• Variational design of smooth rational Bézier curves
• Interpolation with minimal-energy splines
• Variational design of curves and surfaces
• Geometric Hermite curves with minimum strain energy
• Minimal-energy splines: I. Plane curves with angle constraints
• A Method for Interpolating Scattered Data Based Upon a Minimum Norm Network
• Scattered Data Interpolation Using Data Dependant Optimization Techniques
• Multivariable Curve Interpolation

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