A Loop subdivision surface reconstruction method to reproduce a triangular mesh with subdivision connectivity is proposed, which can make full use of the multiresolution analysis of subdivision surface. Firstly, the base mesh is created by removing maximally the independent set of vertices. After resampling the base mesh, progressive interpolation (PI) method is utilized to interpolate the subdivision surface iteratively. Finally, experimental results are presented to illustrate the effectiveness of the proposed method in the aspect of mesh connectivity.