基于径向基函数的三角网格曲面孔洞修补算法

提出一种对三角网格曲面中孔洞的修补算法，在对孔洞多边形进行填补后，使用径向基函数建立孔洞曲面的隐式方程，然后把新增加的三角片顶点映射到曲面上．由于在修补时不仅考虑了对孔洞多边形的三角划分问题，还考虑了孔洞周围的几何信息，使得修补后的孔洞曲面与原始曲面光滑地融为一体，尤其对曲率变化较剧烈部位处的孔洞取得了理想的修补效果．

Hole Repairing in Triangular Meshes Based on Radial Basis Function

In this paper, a novel hole-repairing algorithm is put forward. The algorithm mainly contains three steps. At the first step, an implicit surface is fitted to the vertices near the hole based on the radial basis function. And at the second step, the hole is repaired by iteratively adding new triangles from the boundary to the center of the hole. Finally at the third step, the vertices of added triangles are mapped to the implicit surface to make the repaired area smoothly blended with its vicinity. Since both the triangulation of holes and the peripheral geometry character of holes are taking into account during the hole repairing, the consistency between the hole and the original surface can be guaranteed. As shown in the paper, excellent results have been achieved in the hole repairing experiments, especially for those with large curvature changes.