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International Journal of Computer Mathematics Volume 80, 2003 - Issue 8
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Original Articles

G 2 Planar Cubic Transition Between Two Circles

Zulfiqar Habib Department of Mathematics and Computer Science, University of Kagoshima, Kagoshima, 890-0065, Japan
&
Manabu Sakai Department of Mathematics and Computer Science, University of Kagoshima, Kagoshima, 890-0065, Japan
Pages 957-965 | Published online: 15 Sep 2010

Citations (15)

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Read on this site (2)

Krzysztof Zboinski & Piotr Woznica. (2018) Combined use of dynamical simulation and optimisation to form railway transition curves. Vehicle System Dynamics 56:9, pages 1394-1450.
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Zulfiqar Habib & Manabu Sakai. (2013) Fairing an arc spline and designing with G 2 PH quintic spiral transitions. International Journal of Computer Mathematics 90:5, pages 1023-1039.
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Articles from other publishers (13)

Akin Levent, Bayram Sahin & Zulfiqar Habib. (2019) Spiral transitions. Applied Mathematics-A Journal of Chinese Universities 33:4, pages 468-490.
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Md Yushalify Misro, Ahmad Ramli, Jamaludin Md Ali & Nur Nadiah Abd Hamid. (2017) Cubic Trigonometric Bezier Spiral Curves. Cubic Trigonometric Bezier Spiral Curves.
M. Y. Misro, A. Ramli & J. M. Ali. S-shaped and C-shaped transition curve using cubic trigonometric Bezier. S-shaped and C-shaped transition curve using cubic trigonometric Bezier.
Krzysztof Zboiński & Piotr Woźnica. (2015) Optimisation of polynomial railway transition curves of even degrees. Archives of Transport 35:3, pages 71-86.
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Rushan Ziatdinov. (2012) Family of superspirals with completely monotonic curvature given in terms of Gauss hypergeometric function. Computer Aided Geometric Design 29:7, pages 510-518.
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Rushan Ziatdinov, Norimasa Yoshida & Tae-wan Kim. (2012) Fitting multispiral transition curve joining two straight lines. Computer-Aided Design 44:6, pages 591-596.
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. (2012) Volume Removed - Publisher's Disclaimer. Procedia Engineering 50, pages 1-966.
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Muhammad Abbas, S.H. Yahaya, Ena Jamal, Ahmad Abd Majid & Jamaludin Md. Ali. (2011) Spur Gear Tooth Design and Transition Curve as a Spiral Using Cubic Trigonometric Bezier Function. Spur Gear Tooth Design and Transition Curve as a Spiral Using Cubic Trigonometric Bezier Function.
Krzysztof Zboiński & Piotr Woźnica. (2010) Optimisation of the Railway Transition Curves' Shape with Use of Vehicle-track Dynamical Model. Archives of Transport 22:3.
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Zulfiqar Habib & Manabu Sakai. (2009) G2 cubic transition between two circles with shape control. Journal of Computational and Applied Mathematics 223:1, pages 133-144.
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Saifudin Hafiz Yahaya, Jamaludin Md. Ali & Muhammad Hafidz Fazli Md. Fauadi. (2008) A Product Design Using an S-Shaped and C-Shaped Transition Curves. A Product Design Using an S-Shaped and C-Shaped Transition Curves.
Azhar Ahmad & Jamaluddin Md. Ali.. (2008) G3 Transition Curve Between Two Straight Lines. G3 Transition Curve Between Two Straight Lines.
Z. Habib & M. Sakai. (2004) Reachable regions for spiral segments and applications in geometric modelling. Reachable regions for spiral segments and applications in geometric modelling.

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