基于圆弧投影的直线与回转面求交方法

A Circular-Projection-Based Approach to Intersection between Lines and Revolved Surfaces

本文将工程图学中的圆弧投影原理应用于直线与回转面的交点计算 ,把空间线面的求交问题转化为平面上二次曲线与回转面轮廓线的求交 ,不仅提高了计算效率 ,而且几何意义清楚 ,算法可靠 。

This paper applies the principle of circular projection in finding intersection points between lines and revolved surfaces, with the intersecting problem of the line and the surface in 3D space converted to that of a hyperbola and a surface s contour line in 2D plane. This not only greatly enhance the intersecting efficiency but also has the advantages of clear geometric meaning and good intersecting stability. Furthermore, this method is workable to the situation of no-intersection-and multi-intersection.