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Improvement Construction for Planar G2 Transition Curve Between Two Separated Circles

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Part of the book series:Lecture Notes in Computer Science ((LNTCS,volume 3992))

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Abstract

In this paper, we use the undetermined coefficient method to find a desirable pair of cubic Bezier spirals and a desirable pair of quintic PH spirals to generate planar G2 transition curve between two separated circles. The G2 transition curve can be gotten by the rooting formula, which simplifies the computation, and the ratio of two radii has no restriction, which extends the application area.

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Author information

Authors and Affiliations

  1. Department of Mathematics and Science, Zhejiang Sci-Tech University, Hangzhou, 310018, China

    Zhong Li

  2. Department of Computer Science and Engineering, Shanghai Jiao Tong University, Shanghai, 200030, China

    Zhong Li, Lizhuang Ma, Mingxi Zhao & Zhihong Mao

Authors
  1. Zhong Li

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  2. Lizhuang Ma

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  3. Mingxi Zhao

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  4. Zhihong Mao

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Editor information

Editors and Affiliations

  1. Advanced Computing and Emerging Technologies Centre, The School of Systems Engineering, University of Reading, RG6 6AY, Reading, United Kingdom

    Vassil N. Alexandrov

  2. Department of Mathematics and Computer Science, University of Amsterdam, Kruislaan 403, 1098, SJ Amsterdam, The Netherlands

    Geert Dick van Albada

  3. Faculty of Sciences, Section of Computational Science, University of Amsterdam, Kruislaan 403, 1098, SJ Amsterdam, The Netherlands

    Peter M. A. Sloot

  4. Computer Science Department, University of Tennessee, TN 37996-3450, Knoxville, USA

    Jack Dongarra

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© 2006 Springer-Verlag Berlin Heidelberg

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Li, Z., Ma, L., Zhao, M., Mao, Z. (2006). Improvement Construction for Planar G2 Transition Curve Between Two Separated Circles. In: Alexandrov, V.N., van Albada, G.D., Sloot, P.M.A., Dongarra, J. (eds) Computational Science – ICCS 2006. ICCS 2006. Lecture Notes in Computer Science, vol 3992. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11758525_47

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