计量学报2025，Vol.46Issue(9)：1331-1336,6.DOI:10.3969/j.issn.1000-1158.2025.09.13
一种环形锻件外形尺寸激光测量点云简化算法研究
A Kind of Point Cloud Simplification Algorithm for Laser Measurement of External Dimensions of Ring Forgings
摘要
Abstract
The external dimensions of ring forgings play a crucial role in ensuring their machining quality.However,the point cloud models of ring forgings generated by 3D laser scanners often contain large volumes of data and low-quality meshes,which may lead to shape and dimensional errors during the machining process.To address this issue,a mesh simplification algorithm based on Calabi flow parameterization and an improved quadric error metrics(QEM)method is proposed.Leveraging the conformal and shape-preserving properties of Calabi flow,the 3D model is mapped onto a 2D plane to obtain the parameterized coordinates of the point cloud.These coordinates are then used to extend the vertex dimensions,enhancing the QEM-based simplification process.Experimental results demonstrate that the proposed algorithm can effectively preserve detail features in high-curvature regions and maintain good boundary characteristics,even under 50%,75%,and 98%simplification ratios.In terms of accuracy,the maximum dimensional error remains within 0.4 mm at a 98%simplification rate,meeting the precision requirements of industrial manufacturing.关键词
几何量计量/环形锻件/外形尺寸测量/激光测量点云/点云精简/二次误差度量/Calabi流Key words
geometric measurement/ring forging/dimensional measurement/laser measurement point cloud/point cloud simplification/quadratic error metric/Calabi flow分类
通用工业技术引用本文复制引用
张玉存,齐鹏博,付献斌..一种环形锻件外形尺寸激光测量点云简化算法研究[J].计量学报,2025,46(9):1331-1336,6.基金项目
中央引导地方科技发展基金(216Z1801G,226Z1806G) （216Z1801G,226Z1806G）
河北省自然科学基金(E2022415005,E2021415003) （E2022415005,E2021415003）
