Fairing an arc spline and designing with G 2 PH quintic spiral transitions

DOI10.1080/00207160.2012.744452zbMath1277.65011OpenAlexW2068083091MaRDI QIDQ2855737

Manabu Sakai, Zulfiqar Habib

Publication date: 22 October 2013

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2012.744452

zbMATH Keywords

curvature extremagraphical examplesspiral\(G^2\) continuityPythagorean hodographarc splinesgear designinghighway or railway designingnon-holonomic robot path planningnumerically controlled cutting machinery

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical interpolation (65D05) Traffic problems in operations research (90B20) Robot dynamics and control of rigid bodies (70E60) Spline approximation (41A15) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (2)

A note on Pythagorean hodograph quartic spiral ⋮ Spiral transitions

Cites Work

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• 3D Euler spirals for 3D curve completion
• An efficient path planning and control algorithm for ruav's in unknown and cluttered environments
• A constrained guided \(G^{1}\) continuous spline curve
• \(G^{2}\) Hermite interpolation with circular precision
• \(G^2\) Pythagorean hodograph quintic transition between two circles with shape control
• \(G^2\) curve design with a pair of pythagorean hodograph quintic spiral segments
• Transition between concentric or tangent circles with a single segment of \(G^2\) PH quintic curve
• Fair cubic transition between two circles with one circle inside or tangent to the other
• Planar interpolation with a pair of rational spirals
• Sharp error bounds for piecewise linear interpolation of planar curves
• \(G^2\) cubic transition between two circles with shape control
• The family of biarcs that matches planar, two-point \(G^{1}\) Hermite data
• FAIRING ARC SPLINE AND DESIGNING BY USING CUBIC BÉZIER SPIRAL SEGMENTS
• Designing objects with a spline
• G 2 Planar Cubic Transition Between Two Circles
• G^2 Two-Point Hermite Rational Cubic Interpolation
• Planar \(G^2\) transition with a fair Pythagorean hodograph quintic curve

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