B-spline-Bézier representation of geometric spline curves: Quartics and quintics

DOI10.1016/0898-1221(92)90066-QzbMath0762.65004MaRDI QIDQ1187798

Matthias Eck, Dieter Lasser

Publication date: 13 August 1992

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

algorithmsshape controlconvex hullvariation diminishing propertygeometric continuitytensor product surfacesspline curvesgeometrically continuous curves\(B\)-spline-Bézier representationquartic and quintic geometric \(B\)- splines

Mathematics Subject Classification ID

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

Related Items (5)

New algorithms and techniques for computing with geometrically continuous spline curves of arbitrary degree ⋮ Visually continuous quartics and quintics ⋮ Geometric construction of spline curves with tension properties ⋮ Constructing piecewise rational curves with Frenet frame continuity ⋮ Geometric construction of quintic parametric B-splines

Cites Work

• Constructing piecewise rational curves with Frenet frame continuity
• Properties of \(\beta\)-splines
• Geometric spline curves
• A survey of curve and surface methods in CAGD
• Rational geometric splines
• Curvature continuous curves and surfaces
• Visual continuity
• Projectively invariant classes of geometric continuity for CAGD
• Über berührende Kegelschnitte einer ebenen Kurve
• Local Control of Bias and Tension in Beta-splines
• ON LOCALLY SUPPORTED BASIS FUNCTIONS FOR THE REPRESENTATION OF GEOMETRICALLY CONTINUOUS CURVES
• Deriving the beta-constraints for geometric continuity of parametric curves

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