基于八叉树空间分割的k近邻搜索算法

以三维扫描得到的散乱点云为基础，提出了一种基于空间八叉树的快速k近邻搜索算法，通过对点集建立包围盒，利用八叉树记录分割过程，从而使近邻点的搜索只局限于采样点所在的包围盒及其周围的包围盒，并通过剪枝策略使搜索范围进一步缩小。大量真实数据的实验结果表明：该算法可以很好地提高近邻点的搜索速度。

Algorithm for finding k-nearest neighbors based on octree segmentation in space

An octree based on the rapid k nearest search was presented for scattered points from 3D scanner. Through the establishment of bounding box on point sets, octree was used to record segmentation process, so that the search of point neighbors was limited to the bounding box of sample points and its neighbor, and through pruning strategies to further narrow the scope of the search.The experiments on a great deal of real data show that the search speed can be well improved.