Journal of South China University of Technology(Natural Science Edition) ›› 2003, Vol. 31 ›› Issue (1): 8-10.

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A Fast Algorithm for Computing the Intersections of a Plane with a Spatial Curve of a Certain Type

Hong Yi Ding Shi-hong LüXiao-min   

  1. Dept．of Applied Mathematics‚South China Univ．of Tech．‚Guangzhou510640‚China
  • Online:2003-01-20 Published:2022-03-31
  • Contact: 洪毅（1943－）‚男‚博士‚教授‚主要从事应用数学方面的研究
  • About author:洪毅（1943－）‚男‚博士‚教授‚主要从事应用数学方面的研究

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Abstract: Aiming at a certian type of curve‚selecting the proper starting points by making full use of monotonicity of beeline‚and using the Newton tangential method‚this dissertation put forward a fast algorithm for computing the intersection of a plane with a curve of a certain type（pseudo-convex spiral）‚where the positions of the plane and the spiral are arbitrary．

Key words:  spiral, Newton tangential method, periodic function

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