Global Hybrid Method for Computing the Minimum Distance Between a Point and a Plane Parametric Curve
نویسنده
چکیده
Global convergent hybrid method is presented for computing the minimum distance between a point and a plane parametric curve. First, it uses a first order geometric iteration method. If iterative parametric value satisfied local Newton convergence condition and convergence in appropriate area, then turning to Newton iteration method. This hybrid method’s sensitivity to the choice of initial values is nonexistence. Experimental results show that the algorithms under consideration are robust and efficient.
منابع مشابه
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.
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