Hou Wenguang, Xu Zekai, Qin Nannan, Xiong Dongping, Ding Mingyue
Department of Biomedical Engineering, Huazhong University of Science and Technology, Wuhan, China.
Electric Power Planning & Engineering Institute Beijing North-Star Co.,Ltd., 65-2 Ande Road, Beijing, China.
PLoS One. 2015 Apr 27;10(4):e0120151. doi: 10.1371/journal.pone.0120151. eCollection 2015.
This paper intends to generate the approximate Voronoi diagram in the geodesic metric for some unbiased samples selected from original points. The mesh model of seeds is then constructed on basis of the Voronoi diagram. Rather than constructing the Voronoi diagram for all original points, the proposed strategy is to run around the obstacle that the geodesic distances among neighboring points are sensitive to nearest neighbor definition. It is obvious that the reconstructed model is the level of detail of original points. Hence, our main motivation is to deal with the redundant scattered points. In implementation, Poisson disk sampling is taken to select seeds and helps to produce the Voronoi diagram. Adaptive reconstructions can be achieved by slightly changing the uniform strategy in selecting seeds. Behaviors of this method are investigated and accuracy evaluations are done. Experimental results show the proposed method is reliable and effective.
本文旨在为从原始点中选取的一些无偏样本生成测地线度量下的近似Voronoi图。然后基于Voronoi图构建种子的网格模型。所提出的策略不是为所有原始点构建Voronoi图,而是绕过相邻点之间的测地线距离对最近邻定义敏感这一障碍。显然,重建模型是原始点的细节层次。因此,我们的主要动机是处理冗余的散点。在实现过程中,采用泊松圆盘采样来选择种子并有助于生成Voronoi图。通过稍微改变选择种子的均匀策略可以实现自适应重建。研究了该方法的性能并进行了精度评估。实验结果表明所提出的方法可靠且有效。