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计算机工程 ›› 2008, Vol. 34 ›› Issue (8): 10-11. doi: 10.3969/j.issn.1000-3428.2008.08.004

• 博士论文 • 上一篇    下一篇

基于动态网格划分的散乱点k邻近快速搜索算法

马骊溟,徐 毅,李泽湘   

  1. (哈尔滨工业大学深圳研究生院,深圳 518055)
  • 收稿日期:1900-01-01 修回日期:1900-01-01 出版日期:2008-04-20 发布日期:2008-04-20

Fast k-nearest Neighbors Searching Algorithm for Scattered Points Based on Dynamic Grid Decomposition

MA Li-ming, XU Yi, LI Ze-xiang   

  1. (Shenzhen Graduate School, Harbin Institute of Technology, Shenzhen 518055)
  • Received:1900-01-01 Revised:1900-01-01 Online:2008-04-20 Published:2008-04-20

摘要: 提出一种新的k邻近的获取方法,将测量数据点的x, y和z坐标按照空间坐标系x轴、y轴和z轴的方向进行三维排序。找到所求点在三维排序中的位置,得到一个动态的网格,并在该网格内搜索k邻近。与传统的包容盒搜索k邻近方法相比,该文算法避免了包容盒法在划分空间网格时,由于网格内点数的不确定性所带来的缺陷。该算法的创新性是根据点的密度,随意扩大或缩小该网格,从而可以快速求得k邻近点。

关键词: 最近邻近, 动态网格, 散乱点

Abstract: This paper proposes a novel k-nearest neighbor searching algorithm. The coordinates of origninal point data sets are sorted along x, y and z axis individually. The position of desired point is computed in the sequence of rearranged points, from which it can obtain a dynamic grid where the k-nearest points are searched. Compared to the conventional bounding box-based k-nearest neighbor searching method, the scheme can overcome the drawback of the uncertainty of the amount of points with the bounding box space subdivision. A outstanding innovation of the method is arbitrarily increasing or decreasing the grid, according to the density of the point set. So the k-nearest neighbor can be calculated efficiently.

Key words: nearest neighbors, dynamic grid, scattered points

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