由三维坐标值计算两点距离的精度分析及应用

本文推导了由三维坐标计算两点距离的精度估算公式,指出仪器和目标的相对位置会影响所求空间距离的精度,并通过全站仪和激光跟踪仪这两种不同精度的三维仪器对标准尺的测量结果进行了验证,最后给出了基于距离测量的“两点法”计算测距加常数的原理。在文献中尚无对这一问题的系统、深入讨论,希望本文能给精密工程测量工作者提供实际操作参考。

The accuracy analysis of point-point distance calculated by 3D Coordinates

This paper deduces the accuracy estimation formula of point-point distance calculated by 3D coordinates firstly.Then it puts forward that the relative location between instrument and targets can affect the distance accuracy,and validates the conclusion by analysis the "scale bar" measurement result from two different 3D instruments,Total Station and Laser Tracker.Finally,the principle of EDM additive constant calculation by "two points" based on distance measurement is given.There is no deep,integrated discussion on this question in reference,and we hope that this paper can provide an actual operation reference for the surveyor in precise engineering survey.