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

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

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 proje...

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Bibliographic Details
Main Authors: Xiaowu Li, Zhinan Wu, Linke Hou, Lin Wang, Chunguang Yue, Qiao Xin
Format: Article
Language:English
Published: MDPI AG 2016-02-01
Series:Algorithms
Subjects:
point projection
Newton’s method
global convergence
osculating sphere
osculating circle
convergence analysis
Online Access:http://www.mdpi.com/1999-4893/9/1/15

Internet

http://www.mdpi.com/1999-4893/9/1/15

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