A Geometric Orthogonal Projection Strategy for Computing the Minimum Distance Between a Point and a Spatial Parametric Curve

نویسندگان

  • Xiaowu Li
  • Zhinan Wu
  • Linke Hou
  • Lin Wang
  • Chunguang Yue
  • Qiao Xin
چکیده

A new orthogonal projection method for computing the minimum distance between a point and a spatial parametric curve is presented. It consists of a geometric iteration which converges faster than the existing Newton’s method, and it is insensitive to the choice of initial values. We prove that projecting a point onto a spatial parametric curve under the method is globally second-order convergence.

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عنوان ژورنال:
  • Algorithms

دوره 9  شماره 

صفحات  -

تاریخ انتشار 2016