Abstract
This paper presents an efficient nearest point projection method based on improved Newton iteration. This method is different from the traditional Newton iterative method. For any complex curve and surface, the initial value fast positioning method is used to obtain the initial iterative point set that may meet the conditions. The initial point set is screened by the circle and sphere clipping algorithm to obtain the initial iterative points to be selected. Then the improved unidirectional Newton iterative algorithm is applied to search the region, and the parameter values in accordance with precision requirements are obtained. The corresponding points are calculated according to the parameter values. Finally, through a large number of test cases, it is shown that the method in this paper is robust and efficient in adapting to the shape change of curves and surfaces.
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