Improvement Construction for Planar G2 Transition Curve Between Two Separated Circles

  • Zhong Li
  • Lizhuang Ma
  • Mingxi Zhao
  • Zhihong Mao
Part of the Lecture Notes in Computer Science book series (LNCS, volume 3992)


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.


Transition Curve Unit Tangent Vector NURBS Curve Bezier Curve Pythagorean Hodograph 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Zhong Li
    • 1
    • 2
  • Lizhuang Ma
    • 2
  • Mingxi Zhao
    • 2
  • Zhihong Mao
    • 2
  1. 1.Department of Mathematics and ScienceZhejiang Sci-Tech UniversityHangzhouChina
  2. 2.Department of Computer Science and EngineeringShanghai Jiao Tong UniversityShanghaiChina

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