Target curvature driven fairing algorithm for planar cubic B-spline curves

DOI10.1016/j.cagd.2004.03.004zbMath1069.65525OpenAlexW2044727903MaRDI QIDQ2388574

Jianmin Zheng, Weishi Li, Gang Zhao, Shuhong Xu

Publication date: 14 September 2005

Published in: Computer Aided Geometric Design (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cagd.2004.03.004

zbMATH Keywords

constrained optimizationB-spline curvesfairingtarget curvature plots

Mathematics Subject Classification ID

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

Related Items (8)

Fairness degree based fairness criterion and fairing algorithm ⋮ Wavelet based local fairing algorithm for surfaces with data compression ⋮ Generalized fairing algorithm of parametric cubic splines ⋮ Determining knots by optimizing the bending and stretching energies ⋮ A local fitting algorithm for converting planar curves to B-splines ⋮ The fairing andG¹continuity of quartic C-Bézier curves ⋮ An integrated fitting and fairing approach for object reconstruction using smooth NURBS curves and surfaces ⋮ Curve fairing using integral spline operators

Cites Work

• Fairing spline curves and surfaces by minimizing energy
• Curve intersection using Bézier clipping
• Automatic fairing algorithm for B-spline curves
• Fairing cubic B-spline curves
• An automated curve fairing algorithm for cubic \(B\)-spline curves
• Designing Bézier conic segments with monotone curvature
• An improved algorithm for automatic fairing of non-uniform parametric cubic splines
• Variational design of curves and surfaces
• A geometric characterization of parametric cubic curves
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