Measurement Method of Large Ring Forgings Based on Point Cloud Simplification
ZHANG Yu-cun1,WANG Zhi-yu1,FU Xian-bin2
1. School of Electrical Engineering, Yanshan University, Qinhuangdao, Hebei 066000, China
2. Hebei University of Environmental Engineering, Qinhuangdao, Hebei 066000, China
Abstract：Aiming at the problems of large amount of point cloud data and low quality of point cloud grid in the measurement of large ring forgings, a simplified point cloud measurement algorithm was proposed. Firstly, the target Gaussian curvature of the interior points and boundaries of each vertex on the forging mesh was set to zero.Then, according to the set target curvature, the Ricci flow equation was used to optimize the Ricci flow discrete entropy energy, and the planar target metric was calculated to obtain the parameterized coordinates of each point on the mesh.Finally, the vertex dimension was extended based on the obtained parametric coordinates, and a vertex constraint factor weighted cost function was introduced for mesh simplification measurements.The experimental results showed that the proposed algorithm could handle point cloud models with complex structures, and the simplified point cloud model boundary geometric features were well maintained, which could meet the measurement dimensional accuracy requirements of industrial digital manufacturing.
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2023, Vol. 44 
