\(G^2\) composite cubic Bézier curves

DOI10.1016/S0377-0427(98)00208-8zbMath0948.65012MaRDI QIDQ1300780

Francisco Tovar, Marco Paluszny, Richard R. Patterson

Publication date: 13 November 2000

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

Bézier curveszero curvature\(G^2\) spline curve

Mathematics Subject Classification ID

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

Related Items (7)

Cubic polynomial A-splines: \(G^{1}, G^{2}\) and inflection point control ⋮ Rationalization of a class of space B-spline curves based on piecewise projective transform ⋮ Spline on a generalized hyperbolic paraboloid ⋮ \(G^{2}\)-cubic contours. ⋮ Path splines with conic envelopes ⋮ Efficient intersection between splines of clothoids ⋮ Unnamed Item

Cites Work

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• Planar piecewise algebraic curves
• High accuracy geometric Hermite interpolation
• Shape preserving interpolation by curvature continuous parametric curves
• Geometric control of \(G^{2}\)-cubic A-splines
• Projective transformations of the parameter of a Bernstein-Bézier curve

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