提出了平面、球面和空间曲线拟合的自适应方法,将空间直纹面分解为球面像曲线和空间腰曲线进行特征描述,并把机构综合问题转化为曲线自适应拟合问题,给出了平面近似圆点、球面近似圆点和空间近似定轴线等概念,建立了从平面、球面到空间机构综合的统一模型和自适应方法,为机构优化综合解的存在性和优化算法的收敛性提供了理论依据。 The adaptive method of curve fitting of plane, sphere and space is proposed. The spatial ruled surface is decomposed into the spherical image curve and the space curve, and the mechanism synthesis problem is transformed into the curve fitting problem. Plane approximations, approximate spherical points and approximate axes of space, the uniform model and the adaptive method for the synthesis from plane to sphere are established, which provide the existence of the optimal solution and the convergence of the optimization algorithm The theoretical basis.