加工过程仿真中的触模处理 ,实际上是射线与曲面求交的问题 ,即非线性方程组的求解问题。广泛应用的Newton迭代法的收敛性取决于迭代初始值的选取 ,是局部收敛的方法。基于同伦映射的同伦算法 ,具有大范围收敛性。文中尝试将同伦迭代应用于触模算法中 ,数值算例验证了这种处理方法的可行性和有效性 The touch processing in the process simulation is actually the intersection of ray and surface, that is, the problem of solving nonlinear equations. The convergence of the widely used Newton iterative method depends on the selection of the initial value of the iteration and is a method of local convergence. Homotopy algorithm based on homotopy mapping has a large range of convergence. In this paper, we try to apply the homotopy iteration to the touch algorithm. Numerical examples show the feasibility and effectiveness of this method.