Three dimensional model of power conductor

Three dimensional model of power conductor

A key link of power line 3D reconstruction is to determine the mathematical expression of 3D reconstruction model of single file and single power line . In this tweet , The 3D reconstruction model of single file and single power line can include two interrelated parts , Pictured 1 Shown . The first part is the straight line segment , The straight line section consists of power lines LiDAR Point cloud in XOY The projection points of the plane are generated by least square fitting ; The second part is the catenary segment , The catenary segment is located on the vertical surface of the straight segment 、 And by the power line LiDAR Information generation of point cloud . in addition , The straight line segment and catenary segment are not only coplanar , Moreover, the two endpoints of the straight line segment and the two endpoints of the catenary segment have a vertical projection relationship . It is important to note that , The three-dimensional reconstruction model in this tweet is suitable for any type of power line （ Include ： Single conductor 、 Lightning wires 、 Any split of a split wire （ beam ）、 Split conductor as a whole ） 3D modeling of .

chart 1 Catenary model of a conductor
1、 Linear segment model
stay XOY The straight line segment model in the plane consists of two parts , Line and two endpoints . among , The linear model consists of power lines LiDAR The point is XOY Least square fitting of plane projection points ; The two endpoints are determined by the linear model and two extreme scale factor points . First , Determine the linear model , The linear model adopts the formula （1） The normal formula shown ：

2、 Catenary segment model