空间三角网格曲面的补洞方法

由三维扫描仪对文物表面进行扫描得到网格数据后，先提取出破洞的边界，利用破洞边界三角形的法矢信息将破洞边界上的点投影到一个平面上，形成一个二维多边形；然后基于该二维多边形各内角及各边长度在多边形内插入新的离散点，再将多边形内离散点三角网格化；最后用移动最小二乘近似法将破洞附近的点拟和成曲面，以此求出插入点的高度值，这样就得到了在三维空间中的网格数据。

Hole-filling Method for Reconstruction of Triangular Mesh

The mesh data was obtained by scanning the surface of relic,then fix the vertex located in the hole's contour.Using the information of orthogonal vectors of triangles associated with the contour,all the vertexes were projected onto a plane,and a planar polygon was formed.New scattered vertexes were placed inside the polygon according to the length of each edge and an internal angle,then the triangle mesh was generated using the scattered vertex.At last the height of scattered vertex was computed based on moving least squares and complete geometry was obtained.