Variational design of smooth rational Bézier curves

DOI10.1016/0167-8396(91)90012-ZzbMath0753.65014MaRDI QIDQ1183532

Georges-Pierre Bonneau, Hans Hagen

Publication date: 28 June 1992

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

zbMATH Keywords

weightssmoothingcontrol pointsrational Bézier curverational cubic curves\(B\)-spline algorithms

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical smoothing, curve fitting (65D10) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (5)

Fairness degree based fairness criterion and fairing algorithm ⋮ Construction of Bézier surfaces with energy-minimizing diagonal curves from given boundary ⋮ Geometric construction of energy-minimizing Béezier curves ⋮ Adjusting the energy of ball curves by modifying movable control balls ⋮ Discrete variational calculus for B-spline curves

Cites Work

• Automatic smoothing with geometric surface patches
• Interpolating curves with gradual changes in curvature
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