Research on minimum distance from a point to a parametric surface

LIU Gui-ying
（College of  Physics and Electronic Engineering， Guangxi Teachers Education University，
Nanning 530023， China）

Abstract： In order to solve the problems of the poor stability and the low efficiency of the searching algorithm，it was studied that how to compute the minimum distance from a point to a parametric surface. Based on the geometric characteristics of the parametric surface，a method was presented to find the minimum distance by finding roots of an equation group. Discrete Newton method was adopted to solve the equation. The experimental results show that discrete Newton method is stable and efficient.
Key words： parametric surface；minimum distance；discrete Newton method