A Geometric Orthogonal Projection Strategy for Computing the Minimum Distance Between a Point and a Spatial Parametric Curve
Copyright policy )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 projecting a point onto a spatial parametric curve under the method is globally second-order convergence.
- Shandong Women’s University China (People's Republic of)
- Guizhou Minzu University China (People's Republic of)
- Yili Normal University China (People's Republic of)
- Yichun University China (People's Republic of)
osculating sphere, Industrial engineering. Management engineering, Curves in Euclidean and related spaces, Newton’s method, QA75.5-76.95, T55.4-60.8, osculating circle, convergence analysis, point projection, global convergence, Newton's method, Electronic computers. Computer science, Numerical aspects of computer graphics, image analysis, and computational geometry, Computer graphics; computational geometry (digital and algorithmic aspects)
osculating sphere, Industrial engineering. Management engineering, Curves in Euclidean and related spaces, Newton’s method, QA75.5-76.95, T55.4-60.8, osculating circle, convergence analysis, point projection, global convergence, Newton's method, Electronic computers. Computer science, Numerical aspects of computer graphics, image analysis, and computational geometry, Computer graphics; computational geometry (digital and algorithmic aspects)
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