Three-Dimensional Tooth Complex Hole Repair Based on Advancing Front Idea

The holes on the surface of the three-dimensional tooth model not only affect the aesthetics, but also interfere with the orthodontic treatment process. Aiming at the problem that the existing algorithms have a poor effect and low efficiency in repairing tooth holes, a complex tooth hole repair algorithm based on an advancing front idea is proposed. Firstly, the overly small inner angles and short edges within the hole boundary are collapsed, while excessively long edges are segmented. Then, the hole is initially repaired by combining the normal information of the vertices with the local Taubin curvature. The Laplace-Beltrami operator is used to reduce surface noise in the model. Finally, the vertex Gaussian curvature is used as a constraint, and the Sqrt3 algorithm is used to subdivide the mesh to obtain a natural hole repair result. The repair experiments were carried out on the mandibular model with holes and the single tooth model with different shapes. The repair efficiency was compared with other algorithms, and the mesh quality evaluation algorithm was used to evaluate the repair results. The results show that the efficiency and effectiveness of the proposed method in repairing various holes in the model are significantly better than those of the comparative method, and the tiny features of the tooth surface are retained to the maximum extent.