Approximation of high-degree and procedural curves

DOI10.1007/BF01200103zbMath0749.68094OpenAlexW2046598658MaRDI QIDQ1189299

Séamus T. Tuohy, Franz-Erich Wolter

Publication date: 26 September 1992

Published in: Engineering with Computers (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01200103

zbMATH Keywords

geometric modelingapproximating a function (or curve) by an integral B-spline curve

Mathematics Subject Classification ID

Computer science aspects of computer-aided design (68U07) Algorithms for approximation of functions (65D15) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (4)

Topologically reliable approximation of composite Bézier curves ⋮ Euclidean offset and bisector approximations of curves over freeform surfaces ⋮ Intersection of a ruled surface with a free-form surface ⋮ ConstructingG¹continuous curve on a free-form surface with normal projection

Cites Work

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• Piecewise quadric blending of implicitly defined surfaces
• Intrinsic parametrization for approximation
• A spline approximation of offset curves
• A practical guide to splines
• Approximate conversion of rational splines
• Approximate conversion of rational B-spline patches
• On Polya frequency functions. IV: The fundamental spline functions and their limits
• On calculating with B-splines
• Algorithms for degree-raising of splines
• The Numerical Evaluation of B-Splines

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