A note on Pythagorean hodograph quartic spiral

DOI10.1007/s11766-018-3465-4zbMath1399.65090OpenAlexW2807314673WikidataQ114221850 ScholiaQ114221850MaRDI QIDQ1640700

Zhi-Hao Zheng, Guo-zhao Wang

Publication date: 14 June 2018

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11766-018-3465-4

zbMATH Keywords

curvaturespiraltransition curvePythagorean hodograph quartic curve

Mathematics Subject Classification ID

Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (2)

Algebraic and geometric characterizations of a class of planar quartic curves with rational offsets ⋮ Spiral transitions

Cites Work

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• Pythagorean hodograph spline spirals that match \(G^3\) Hermite data from circles
• On control polygons of quartic Pythagorean-hodograph curves
• Real-time CNC interpolators for Pythagorean-hodograph curves
• A generalisation of the Pythagorean hodograph quintic spiral
• A control polygon scheme for design of planar \(C^2\) PH quintic spline curves
• Transition between concentric or tangent circles with a single segment of \(G^2\) PH quintic curve
• On control polygons of Pythagorean hodograph septic curves
• A guided clothoid spline
• The conformal map \(z\to z^ 2\) of the hodograph plane
• Interpolation with cubic spirals
• Constructing acceleration continuous tool paths using Pythagorean hodograph curves
• Hermite interpolation by Pythagorean hodograph curves of degree seven
• Fairing an arc spline and designing with G ² PH quintic spiral transitions
• Construction and shape analysis of PH quintic Hermite interpolants

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