摘要
为测定空间任意放置的圆锥设备的变形和空间位置的变化,可以根据全站仪采集到的设备表面离散点的坐标,求得圆锥体的空间位置、方向和大小。本文介绍了根据观测点到圆锥面的距离偏差,列误差方程。根据最小二乘原理的要求,认为"最佳"地拟合于各观测点的估计圆锥面,应使各观测点到该圆锥面偏差的平方和最小。从而可以拟合出圆锥的顶点坐标、轴线方程和顶角。
In order to monitor deformation and displacements of conical equipment in space, the position, direction and size of the cone can be fitted by coordinates of points on the surface measured by total station. This paper describes how to form observation equations by using the distance between the points observed and circular conical surface. In accordance with the requirements of least-squares principle, the sum of squared distance between the points observed and conical surface is minimized. The vertex coordinates, the axis equation, and the vertex angle of the cone can be determined.
出处
《工程勘察》
CSCD
北大核心
2010年第10期79-82,共4页
Geotechnical Investigation & Surveying
关键词
圆锥
轴线方程
顶点
顶角
cone
axis equation
vertex coordinates
vertical angle
