This study proposes an efficient algorithm for an implicit reconstruction of point cloud data. First, the algorithm quickly interpolates the point cloud data with low resolution and low precision on the basis of the traditional radial basis function implicit surface reconstruction algorithm and then interpolates the point cloud data with high resolution and low precision using trilinear interpolation. Finally, the proposed algorithm determines the area near the zero level set of the point cloud data according to the Euclidean distance, and only for the points within the area, the point cloud date are denoised by statistical filtering algorithm. Compared with the traditional method, this algorithm can not only ensure the accuracy of surface reconstruction but also reduce the calculation time. This algorithm achieves the similar accuracy to that of the traditional method and a reduction in the operation time by 63.21% in the surface reconstruction experiment of the head point cloud data.