关键词: 非球面；数据处理；曲线拟合；最小二乘法

Abstract:

In accordance with the requirements of axisymmetric aspheric measuring,three paths were put forward and estimated.The applicant situations of these three paths were analyzed.A data processing system with high precision was carried out.The Gauss-Newton method was adopted as the curve fitting algorithm for the axisymmetric aspheric surface.The monotonous and super-quadric equations of axisymmetric aspheric lenses were taken as the polynomial mathematics model to verify the accuracy of the nonlinear least square fitting method respectively.The experimental results indicate
that the fitting residual errors are in the 1nm magnitude order,so the curve fitting algorithm can be used in the high-precision curve fitting exactly.

Key words: aspheric；data processing；curve fitting；least square method