提出2L-LSH快速索引点云,显著提升邻近点搜索速度。
2L-LSH: A Locality-Sensitive Hash Function-Based Method For Rapid Point Cloud Indexing

- 两步哈希策略:先划分点云包围盒,再构建表结构索引。
- kNN搜索耗时比Kd-tree低51.111%,比Octree低94.159%。
- 适合大规模点云处理,如重建、分类与可视化任务。
3D扫描技术的发展使得获取具有多样结构和大规模的点云模型成为可能,给点云处理带来了巨大挑战。快速邻近点搜索是常见问题,广泛应用于模型重建、分类、检索和特征可视化。哈希函数在高维数据搜索中以高速度和高精度著称,也是本文提出的2L-LSH的核心。具体而言,2L-LSH算法采用两步哈希策略:第一步将点云模型的包围盒进行划分,第二步构建基于广义表的数据结构。该方法为大规模3D点云中的快速邻近点搜索提供了高效且准确的解决方案,适用于多种应用场景。与经典的Kd-tree和Octree方法相比,实验结果表明,2L-LSH在搜索速度上表现更优:kNN搜索耗时分别比Kd-tree和Octree降低51.111%和94.159%;半径搜索(RN)耗时分别降低54.519%和41.840%。
原文摘要 · Abstract (English)
The development of 3D scanning technology has enabled the acquisition of massive point cloud models with diverse structures and large scales, thereby presenting significant challenges in point cloud processing. Fast neighboring points search is one of the most common problems, which is frequently used in model reconstruction, classification, retrieval and feature visualization. Hash function is well known for its high-speed and accurate performance in searching high-dimensional data, which is also the core of the proposed 2L-LSH. Specifically, the 2L-LSH algorithm adopts a two-step hash function strategy, in which the popular step divides the bounding box of the point cloud model and the second step constructs a generalized table-based data structure. The proposed 2L-LSH offers a highly efficient and accurate solution for fast neighboring points search in large-scale 3D point cloud models, making it a promising technique for various applications in the field. The proposed algorithm is compared with the well-known methods including Kd-tree and Octree; the obtained results demonstrated that the proposed method outperforms Kd-tree and Octree in terms of speed, i.e. the time consumption of kNN search can be 51.111% and 94.159% lower than Kd-tree and Octree, respectively. And the RN search time can be 54.519% and 41.840% lower than Kd-tree and Octree, respectively.
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