针对计算机辅助文物虚拟复原中断裂部位受损而引起的几何特征丢失问题, 提出一种结合表面纹饰信息与轮廓线上特征点的交互式破损文物拼接算法。首先, 通过生成拉普拉斯线得到碎片表面的纹饰特征和断裂部位表面轮廓线。领域专家根据纹饰特征的连续性标记表面约束点, 再采用Douglas-Peucker算法提取断裂部位轮廓线上的特征点; 然后, 结合特征点至约束点的距离、特征点与邻接点的内角以及相邻特征点的欧氏距离构造能有效表示断裂部位拼合关系的特征点描述符, 同时定义匹配度函数从而获取特征点匹配对集合; 最后, 采用四元组方法计算刚体变换矩阵, 实现碎片的精确拼合。实验结果表明, 拼合时间节省了约13%～16% , 拼合误差小于1 mm。该方法避免了传统的断裂面拼合方法因数据量大带来的高时间代价, 可快速有效地实现破损文物碎片模型的虚拟复原。

A novel interactive method which can assemble the fractured fragments was proposed based on the surface pattern breakpoint and feature points on contour line of the fracture fragments. Firstly, the geometric structure and contour line were obtained by generating Laplacian lines, and pattern breakpoints and feature points were selected. Then, the combination for distance of feature points to pattern breakpoint, the inner angles and distance of adjacent feature points can produce feature descriptors which determine the adjacency relationship between fragments. All the pairwise points were searched through matching function. Finally, the quaternion outputed the rigid transformation matrices, then two fragments were precisely aligned based on optimal rigid motion through exhaustive search. The experimental results indicate that the reassembly time with13% to 16% saved and result errors are less than 1 mm .The method can reassemble fractured fragments efficiently and successfully.