Smoothing rational B-spline curves using the weights in an optimization procedure

DOI10.1016/0167-8396(95)00003-3zbMath0875.65033OpenAlexW1975253735MaRDI QIDQ672163

Werner Hohenberger, Thomas Reuding

Publication date: 27 February 1997

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

Full work available at URL: https://doi.org/10.1016/0167-8396(95)00003-3

zbMATH Keywords

OptimizationSmoothingNURBSRational B-spline curves

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Computer science aspects of computer-aided design (68U07) Computer-aided design (modeling of curves and surfaces) (65D17)

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A curve-fitting genetic algorithm for a styling application ⋮ Weight control for modelling with NURPS surfaces ⋮ A shape controled fitting method for Bézier curves

Uses Software

• IMSL Numerical Libraries

Cites Work

• Method for fairing B-spline surfaces
• Automatic fairing algorithm for B-spline curves
• Automatic construction of surfaces with prescribed shape
• Surface shape control using constrained optimization on the B-spline representation
• Constrained B-spline curve and surface fitting
• Modifying the shape of rational B-splines. I: Curves
• Fairing Bézier curves with constraints
• A Simplex Method for Function Minimization
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