Surface shape control using constrained optimization on the B-spline representation

DOI10.1016/0167-8396(88)90024-6zbMath0663.65010OpenAlexW2002993541MaRDI QIDQ1114296

Paul D. Frank, Alan K. Jones, David R. Ferguson

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0167-8396(88)90024-6

zbMATH Keywords

algorithmconstrained optimizationtest examplescurvature controlisoparametric linessurface shape controlTensor-product B-splinetensor-product spline surfaces

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Spline approximation (41A15) Algorithms for approximation of functions (65D15) Curves in Euclidean and related spaces (53A04) Descriptive geometry (51N05)

Related Items (6)

Shape control of Bézier surfaces with iso-parametric monotone curvature constraints ⋮ A MIQCP formulation for B-spline constraints ⋮ Smoothing rational B-spline curves using the weights in an optimization procedure ⋮ Convexity-preserving interpolatory parametric splines of non-uniform polynomial degree ⋮ Class A Bézier curves ⋮ G1 Blending B-Spline Surfaces and Optimization

Cites Work

• A simplified B-spline computation routine
• Spline approximation by quasiinterpolants
• Stochastic Methods for Global Optimization
• Interpolation by Convex Quadratic Splines
• Unnamed Item

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