径向基函数在三维点云数据插补中的应用

摘要

Three-dimensional (3D) shape measuring techniques are based on the principle of triangulation and technique of fringe projection. In the process of measuring, triangular projection often produces local shadow and occlusion. In addition, some dark marks are needed to be attached to the tested surface for convenient later data merging. These may lead to local fracture of fringe pattern and finally lose part point-cloud data on the surface of tested objects. In order to ensure the integrity and accuracy of 3D shape measurement results, Radial Basis Function (RBF) is applied to repair the missing 3D point-cloud data. The results of simulation and actual experiment show that the surface interpolated by the algorithm in this article is smooth, which is closed to the original data. And this method is expected to repair missing data in the process of 3D measurement.%在基于三角测量原理和条纹投影方法的三维面形测量技术中，三角投影会出现局部的阴影、遮挡。此外，为了多次测量数据的有效拼接配准，常常在待测物体表面添加必要的标记点。以上因素都会导致条纹图形的局部断裂，最终导致三维点云数据的部分缺失。为保证三维测量结果的完整性和精度，本文将径向基函数应用于缺失三维点云数据的插补。模拟和实物实验证明，本文算法修补曲面较为光滑，接近物体的原始数据，有望用于三维面形测量结果的缺失数据修补。