摘要
针对计算机辅助文物虚拟复原中由于破损文物断裂部位边缘受损而引起的轮廓线不能充分表示断裂面几何特征的问题,提出了一种基于断裂面拓扑特征的破碎文物自动拼接算法.首先,定义碎片模型顶点显著度指标函数,提取断裂面特征点,依据Morse-Smale复形理论构建并简化断裂面的几何拓扑图;然后,通过定义基准点与0值面,从而计算目标点的对应高度差值,将拓扑图中四边形曲面构造成为能完整表示断裂面几何特征的特征描述符,并根据凹凸互补性计算初始特征四边形匹配集的误差,筛选出最优匹配集;最后,采用四元组方法计算旋转、平移矩阵,利用穷举搜索法实现碎片的精确拼接.实验结果表明,该方法针对断裂部位边缘受损的破碎文物模型可获得较满意的拼接效果.
In order to address the problem that the traditional break-curves methods fail to reassemble fractured frag- ments with incompleteness in contours, a novel automatic reassembly method is proposed using topological feature of fracture surfaces in this paper. First, the Morse-Smale complex on the fractured surfaces of fragments is constructed with curvedness as the indicator function. Then, the tangent plane is calculated through height comparison among key points and the quadrilateral descriptor is obtained by computing height difference. After that, according to the correlation between adjacent regions, optimal quadrilateral descriptors are selected. The rigid transformation matrices that maximize the contact area between surfaces are obtained by quaternion method, such that two fragments can be precisely aligned based on optimal rigid motion through exhaustive search. Experimental results show that satisfactory performance can be achieved by several uses of the algorithm on the fragments of the terracotta warriors.
作者
袁洁
周明全
耿国华
张雨禾
YUAN Jie;ZHOU Ming-Quan;GENG Guo-Hua;ZHANG Yu-He(School of Information Science and Technology,Northwest University,Xi＇an 710127;College of Information Science and Technology,Beijing Normal University,Beijing 100875)
出处
《自动化学报》
EI
CSCD
北大核心
2018年第8期1486-1495,共10页
Acta Automatica Sinica
基金
国家自然科学基金(61373117
61673319)
高等学校博士学科点专项科研基金(20136101110019)
陕西省产业创新链项目:秦汉都城虚拟修复建模及其增强现实展示应用示范工程(2016TZC-G-3-5)资助~~
