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.