网格模型的文物缺损面积计算

Areas calculation of cultural relics defects based on the triangle mesh model

针对缺损文物的修复问题,本文提出通过计算三角网格模型中的三维孔洞面积来统计缺损文物面积的算法:建立三角网格中的点、边和面之间的拓扑关系,根据网格边界性质提取网格模型中的边界边,将提取出的孔洞边界边顺序连接组成孔洞多边形,并利用三角网格拓扑属性来识别孔洞边界和模型本身的外边界,通过坐标法计算三维孔洞多边形面积来统计文物缺损面积。应用实例表明,此方法用于孔洞边界的提取和缺损文物面积的计算是有效、可行的。

To tackle the problem of heritage repair, this paper proposed a new method to give the defect areas of cultural relics by calculating holes area in the 3D triangular mesh. Firstly it built the topological relationship between triangles, vertices and edges and extract boundary by using boundary property of triangular mesh. And then the holes bounding edges were linked in sequence into holes polygon. Finally, identify holes boundary and model exterior boundary by means of triangular mesh topological characteristics and the areas of three-dimensional holes polygon were calculated to obtain the defect areas of cultural relics through the method of coordinate. Through experiments, it was proved that this algorithm was correctly and reasonable.