osculating sphere

A tracing algorithm for calculating the intersection curves of two free-form surfaces by using their osculating plane is presented in this paper.

提出了一种利用密切平面对两自由曲面进行追踪求交的算法。

In this paper, we prove that the family of osculating planes of a space curves is infinitesimally stationary at the points with zero torsion, and rotates infinitesimally around the tangent at the points with non-zero torsion.

本文证明了空间曲线的密切面族在挠率为零的点处无穷小稳定，在挠率非零的点处绕切线无穷小旋转。