NURBS曲线与圆弧求交的剪刀迭代法

The Scissors Iteration Method for Intersection between NURBS and Circular Arc

提出了一种剪刀迭代算法 ,用于CAD/CAM /CNC系统中NURBS曲线段与圆弧之交点的求取。该方法从几何的观点出发 ,像剪刀一样将两段曲线的两端不断剪短 ,经多次迭代后 ,最终得到交点。该方法从数学上将高次方程降阶为低次方程 ,特别适用于

A new method of scissors iteration, to calculate the cross-intersection between NURBS and circular arc in CAD/CAM/CNC system, is advanced. Depending on geometry division, the method like a scissors to cut iteratively both curves shorter and shorter so that the intersection can be got. By the method, the degree of equations of the curves are decreased to be fit for getting intersection between cubic NURBS and circular arc.