Joining rational curves smoothly

DOI10.1016/0167-8396(91)90030-FzbMath0744.65010OpenAlexW2042737223MaRDI QIDQ1183537

Tim N. T. Goodman

Publication date: 28 June 1992

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

Full work available at URL: https://doi.org/10.1016/0167-8396(91)90030-f

zbMATH Keywords

curve fitting\(B\)-splinescontrol pointsgeometric continuityrecursive methodsCox-de Boor algorithmpiecewise rational curveprojective-invariant construction

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items

Bézier representation of conics of contact in the projective plane ⋮ Knot insertion algorithms for piecewise polynomial spaces determined by connection matrices ⋮ Developable rational Bézier and B-spline surfaces ⋮ A geometrical approach to curvature continuous joints of rational curves

Cites Work

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• Blossoms are polar forms
• Constructing piecewise rational curves with Frenet frame continuity
• Properties of \(\beta\)-splines
• Rational geometric splines
• Piecewise polynomial spaces and geometric continuity of curves
• Letter to the editor: On the definition of geometric continuity
• A practical guide to splines
• On calculating with B-splines
• Über berührende Kegelschnitte einer ebenen Kurve
• The Numerical Evaluation of B-Splines

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