摘要
使用常规切片法进行三维点云体积测量时,点云投影至切平面的高度(切层厚度)固定会导致体积测量结果不准确。因此提出一种基于自适应切层厚度的非封闭三维体积测量方法。首先通过Ransac平面拟合将三维点云从相机坐标系转换为世界坐标系,确定切片位置后,通过迭代内边界法,搜索初始切层厚度下的切片点云内边界并计算其面积。随后引入面积比值作为自适应阈值条件,对切层厚度线性梯度增长,得到此处切片的最大切层厚度与最终内边界面积,实现切层厚度的自适应。最后累加各切片间台体体积得到非封闭三维点云总体积。采用2种类别的13组数据对比所提算法与基线算法的体积测量准确度,结果表明所提算法的测量准确度优于基线算法,相对误差最低为0.09%,最高为1.73%。
When using the conventional slicing method for three-dimensional point cloud volume measurement,the fixed height of the point cloud projection onto the slicing plane(slice thickness)leads to inaccurate volume measurement results.To solve this problem,a non-enclosed 3D volume measurement method based on adaptive cut layer thickness is proposed.Firstly,the 3D point cloud is converted from the camera coordinate system to the world coordinate system by Ransac plane fitting.After the slice position is determined,the inner boundary of the slice point cloud under the initial cut layer thickness can be searched by iterative inner boundary method and its area is calculated.Then,the area ratio is introduced as the adaptive threshold condition,and the thickness of the cut layer is linearly increased in gradient,so that the maximum cut layer thickness and the final inner boundary area of the slice are obtained,and the adaptive cut layer thickness is realized.Finally,the total volume of unclosed three-dimensional point cloud is obtained by accumulating the volume of each slice.Thirteen groups of data of two categories are used to compare the volume measurement accuracy of the proposed algorithm with that of the baseline algorithm.The results show that the measurement accuracy of the adaptive cutting layer thickness algorithm is better than that of the baseline algorithm,and the relative error of the adaptive cutting layer thickness algorithm is the lowest 0.09%and the highest 1.73%.
作者
廖司鼎
黄和平
张小科
代作晓
张世圆
吴红艳
陈辉
LIAO Siding;HUANG Heping;ZHANG Xiaoke;DAI Zuoxiao;ZHANG Shiyuan;WU Hongyan;CHEN Hui(Shanghai University of Electric Power,Shanghai 200090,China;Zhengtai Instrument Co,Ltd,Hangzhou,Zhejiang 325603,China;State Grid Henan Electric Power Company Electric Power Science Research Institute,Zhengzhou,Henan 450052,China;Shanghai Institute of Technical Physics,Chinese Academy of Sciences,Shanghai 200083,China)
出处
《计量学报》
北大核心
2025年第9期1337-1347,共11页
Acta Metrologica Sinica
基金
温州市“揭榜挂帅”重大科技创新攻关项目(ZG2023001)。
关键词
几何量计量
体积测量
自适应切层厚度
非封闭三维点云
结构光
切片点云内边界
geometric measurement
volume measurement
adaptive thickness of slice
non-closed three-dimensional point cloud
structured light
slice point cloud inner boundary
