Abstract:Paraboloid figures in engineering construction are generally used for making transmitting or receiving antenna of electromagnetic waves,in which the reflective surface must be fitted accurately with the designed parabolic equation and the radiation device must be installed accurately on the focus of paraboloid. Therefore,it is necessary to measure a lot of separate points on the paraboloid using electronic total-station with high accuracy during the installation of engineering construction,the estimation of construction precision and the deformation observation after the construction. By which,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 practiced to get the paraboloid equation and its focus to satisfy the requirements of the engineering construction,eccuracy estimateion and deformation observation.