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点云模型法矢调整优化算法
引用本文:孙金虎,周来水,安鲁陵. 点云模型法矢调整优化算法[J]. 中国图象图形学报, 2013, 18(7): 844-851
作者姓名:孙金虎  周来水  安鲁陵
作者单位:南京航空航天大学机电学院,南京210016;江苏省精密与微细制造技术重点实验室,南京210016
基金项目:国家自然科学基金项目(面上项目,重点项目,重大项目)
摘    要:点云中存在奇异情况时,采用最小生成树法进行法矢调整会出现错误,而采用曲面重建方法运算效率又较低,为此提出一种点云模型法矢调整的优化算法.算法分别处理薄壁特征、垂直法向和相邻曲面3种奇异情况.对薄壁特征,算法提取特征点并在该处强制进行法矢取反;对垂直法向,算法通过扩大邻域搜索范围来获得法矢变化趋势;对相邻曲面,算法在K邻域中剔除歧义邻域点,避免在最小生成树中生成错误边.实验结果表明,该算法在点云中存在奇异情况时能够进行正确的法矢调整,并且相较于曲面重建方法具有较高的效率.

关 键 词:点云  法矢调整  最小生成树  K邻域  曲面重建
收稿时间:2012-09-14
修稿时间:2012-11-23

Optimal algorithm for normal adjustment of point clouds
Sun Jinhu,Zhou Laishui and An Luling. Optimal algorithm for normal adjustment of point clouds[J]. Journal of Image and Graphics, 2013, 18(7): 844-851
Authors:Sun Jinhu  Zhou Laishui  An Luling
Affiliation:College of Mechanical and Electrical Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China; Jiangsu Key Laboratory of Precision and Micro-Manufacturing Technology, Nanjing 210016, China;College of Mechanical and Electrical Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China; Jiangsu Key Laboratory of Precision and Micro-Manufacturing Technology, Nanjing 210016, China;College of Mechanical and Electrical Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China; Jiangsu Key Laboratory of Precision and Micro-Manufacturing Technology, Nanjing 210016, China
Abstract:When abnormal conditions occur in point cloud, the normal adjustment may have error result when using minimum spanning tree algorithm while efficiency is low when using surface reconstruction algorithm. In order to solve this problem, an optimal algorithm for normal adjustment of point cloud is proposed. It deals with three abnormal conditions separately. For the thin feature condition, it exacts feature points and reverses orientations compulsively. For the perpendicular normals condition, the neighbors region is expanded to get the tendency of normal. For close-by surfaces condition, ambiguous neighbors are removed from K-nearest neighbors to avoid creating error minimum spanning tree edge. Experiments show that the algorithm can adjust normals rightly even when abnormal conditions exist. Compared with surface reconstruction algorithm, the algorithm can adjust normals more efficiently.
Keywords:point cloud  normal adjustment  minimum spanning tree  K-nearest neighbors  surface reconstruction
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