Interpolation with cubic spirals

DOI10.1016/j.cagd.2003.09.002zbMath1069.65515OpenAlexW2129917772MaRDI QIDQ2388550

Donna A. Dietz, Bruce Piper

Publication date: 14 September 2005

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

Full work available at URL: https://doi.org/10.1016/j.cagd.2003.09.002

zbMATH Keywords

spiralmonotonic curvatureBézier cubics

Mathematics Subject Classification ID

Multidimensional problems (41A63) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (9)

A note on Pythagorean hodograph quartic spiral ⋮ Generating planar spiral by geometry driven subdivision scheme ⋮ Visualization and analysis of regions of monotonic curvature for interpolating segments of extended sectrices of Maclaurin ⋮ Construction of spirals with prescribed boundary conditions ⋮ Planar quintic \(G^2\) Hermite interpolation with minimum strain energy ⋮ A further generalisation of the planar cubic Bézier spiral ⋮ Incenter subdivision scheme for curve interpolation ⋮ Matching admissible \(G^2\) Hermite data by a biarc-based subdivision scheme ⋮ \(G^2\) cubic transition between two circles with shape control

Cites Work

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• High accuracy geometric Hermite interpolation
• Approximation of logarithmic spirals
• Planar \(G^2\) transition between two circles with a fair cubic Bézier curve.
• Designing Bézier conic segments with monotone curvature
• Planar spirals that match \(G^2\) Hermite data
• A planar cubic Bézier spiral

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