考虑参数误差的3维空间直线不确定性模型

Positional Uncertainty of Spatial Line Segment Considering of Parameters Error

由于线元上任一点坐标的误差不仅受端点误差的影响,还会受到长度误差的影响,故不确定性模型要考虑各种影响位置精度的参数误差,对3维空间直线不确定性模型作了进一步研究。不但考虑了端点误差的影响,还顾及了长度误差的影响,使模型在理论上更为严密。理论和实验研究表明,长度误差影响了直线方向的精度。

The error of any point on spatial line segment was affected not only by the error of two end points but also by the error of the lengths, so different parameters error affecting positional uncertainty should be considered in the uncertainty model of spatial line segment. On the basis of these, considering the error of two end points and the error of length parameters, a more research for spatial linear position uncertainty was developed in this paper. The model was more theoretically rigorous. The research shows that the error of length parameters only affects the precision in linear direction.