基于Matlab的透镜中心偏测量光轴拟合  

Optical Axis Fitting Based on Matlab in Decentration Measurement of Lens

作　　者：黄荻[1] 

机构地区：[1]长沙航空职业技术学院,长沙410124

出　　处：《电光与控制》2010年第4期87-89,96,共4页Electronics Optics & Control

摘　　要：光学中心偏测量在光学系统的检测和装校中具有重要的意义。为消除被测件在测量仪器上的安装定位过程带来的误差,必须对直接测量的数据进行修正。光轴拟合就是对测量数据的优化和修正的过程。提出一种光轴拟合的数学模型,该数学模型结合了解析方法和数值分析方法,考虑了中心偏测量的实际情况,在严格的数学模型基础上做了合理的简化,使光轴的拟合问题最终转化为对线性方程组的求解。拟合方法最终采用了长于矩阵运算的Matlab编程实现。实践证明,数据优化的效果明显,运算速度快,可以适应测量者的一些特殊的优化要求,对同一被测件的两次测量数据优化结果进行比较,重复性好。The optical measurement of deeentration is of great significance to detection, fixing and regulating of an optical system. To eliminate the error caused by the process of fixing the measured piece on the measuring instrument, it is necessary to revise the data of the direct measurement. Optical axis fitting is exactly the course of data optimizing and revising. A mathematical model of optical axis fitting is put forward here. The model combines analytic method and numerical analysis method together with consideration of the actual decentration measurement. Then, it is reasonably simplified, which changes the optical axis fitting to the solving of system of liner equations. This optical axis fitting method is realized by programming based on Matlab, which is specialized in matrix operation. It is proved by practice that the optimization effect is obvious, the operation speed is fast, and it can respond to some special requires from the measurer. The data have good repeatability when a lens group is measured twice.

关 键 词：光学中心偏测量 光轴拟合 优化轴 最小二乘法 MATLAB 

分 类 号：V271.4[航空宇航科学与技术—飞行器设计]