提出了一种新的视觉坐标测量数学模型,利用参数法推导了基于平面四控制点坐标的解析解,通过最小二乘法对摄像机坐标系下的平面四控制点进行平面拟合,进而求得被测点的三维坐标,并通过大量实验与采用共线三控制点的计算模型进行了对比,结果表明,利用本文所提出的方法计算简单,被测点坐标的测量重复性特别是Z坐标的测量重复性得到显著提高。分析了影响测量系统的主要因素,通过实验纠正了图像畸变对测量系统的影响。
A new mathematical model of vision coordinates,called as the co-plane-four-control point model,is proposed.The analytical solution of coordinates based on coplanar four control points are deduced.With the least square fitting method,the plane of the four control points in the camera coordinate system is fitted,and the coordinates of the measured point are obtained.This model is ally experiment compared with the three control point model.The results show that the proposed model in this paper is very simple,a...