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基于公垂线方向投影变换算法的地下管道轨迹碰撞检测方法

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为避免地下管道施工过程中的碰撞现象,提出基于公垂线方向投影变换算法的地下管道轨迹碰撞检测方法.使用红外激光测距仪采集地下管道测点数据后,将地下管道测点数据坐标转换成右手坐标系,通过平行投影变换方法判断地下管道轨迹中轴线是否平行,若不平行则表明当前两个地下管道轨迹出现碰撞情况,若平行,则依据将地下管道轨迹重新定义公垂线坐标系后,将地下管道轨迹看作圆柱构建椭圆方程,再经过公垂线方向投影变换方式,计算点到椭圆最小距离与点到矩形最小距离,通过判断以上两种最小距离与椭圆中轴公垂线交点之间的关系,得到地下管道中轴线不平行情况下的轨迹碰撞结果.实验表明:该方法具备较好的坐标转换能力,可在不同情况下检测地下管道轨迹碰撞结果,且检测结果较为准确.
An Underground Pipeline Trajectory Collision Detection Method Based on the Projection Transformation Algorithm of the Common Perpendicular Direction
To avoid collision during the construction of underground pipelines,a collision detection method for underground pipeline trajec-tories based on the projection transformation algorithm of the common perpendicular direction is proposed.After collecting data from underground pipeline measurement points using an infrared laser rangefinder,the coordinates of the underground pipeline measurement points are converted into a right-hand coordinate system.The parallel projection transformation method is used to determine whether the axis of the underground pipe-line trajectory is parallel.If it is not parallel,it indicates that the two underground pipeline trajectories are colliding.If it is parallel,the common perpendicular coordinate system is redefined based on the underground pipeline trajectory,the trajectory of an underground pipeline is treated as a cylinder to construct an elliptical equation,and then the minimum distance from a point to an ellipse and a point to a rectangle is calculated through a projection transformation in the direction of the common perpendicular.By judging the relationship between the two minimum distances and the intersection point of the common perpendicular of the axis of the ellipse,the collision result of the trajectory is obtained when the axis of the underground pipeline is not parallel.The experiment shows that this method has good coordinate conversion ability and can detect collision results of underground pipeline trajectories in different situations,and the detection results are relatively accurate.

common perpendiculardirection projection transformationunderground pipelinestrajectory collisioncoordinate transforma-tion

唐吉林

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佛山市测绘地理信息研究院,广东 佛山 528000

公垂线 方向投影变换 地下管道 轨迹碰撞 坐标转换

2024

城市勘测
中国城市规划协会 武汉市测绘研究院

城市勘测

影响因子:0.488
ISSN:1672-8262
年,卷(期):2024.(5)