工程结构物的抛物面方程回归计算

Regressive Adjustment of Paraboloid-Equation for Engineering Construction

抛物面工程结构物的施工安装、建成后的精度鉴定和变形监测需要用高精度的电子全站仪测定抛物面上许多离散点的三维坐标.据此,通过抛物面口的平面方程回归、平面的法向量计算、坐标变换、圆心拟合、坐标轴平移、抛物面方程回归等一系列运算,得到抛物面方程式和焦距,以满足对抛物面工程结构物的施工安装、精度鉴定和变形监测的要求.

A lot of separate points on the paraboloid have to be measured by electronic total-station with high accuracy during the installation of engineering construction, the estimation of construction precision and the deformation observation after the construction. The plane equation regress of the paraboloid opening, the calculation of the plane normal vector, the coordinates transformation, the circle center fitting, the movement of coordinates axis and the regress of paraboloid equation are dealt with and the parabeloid equation and its focus are obtained to satisfy the requirements of the engineering construction, accuracy estimation and deformation observation.