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王雯, 苏天赟, 王国宇. 面向任意分布点云数据的二维Delaunay快速构网算法[J]. 计算机辅助设计与图形学学报, 2015, 27(9): 1653-1660.
引用本文: 王雯, 苏天赟, 王国宇. 面向任意分布点云数据的二维Delaunay快速构网算法[J]. 计算机辅助设计与图形学学报, 2015, 27(9): 1653-1660.
Wang Wen, Su Tianyun, Wang Guoyu. Rapid 2D Delaunay Triangulation Algorithm for Random Distributed Point Cloud Data[J]. Journal of Computer-Aided Design & Computer Graphics, 2015, 27(9): 1653-1660.
Citation: Wang Wen, Su Tianyun, Wang Guoyu. Rapid 2D Delaunay Triangulation Algorithm for Random Distributed Point Cloud Data[J]. Journal of Computer-Aided Design & Computer Graphics, 2015, 27(9): 1653-1660.

面向任意分布点云数据的二维Delaunay快速构网算法

Rapid 2D Delaunay Triangulation Algorithm for Random Distributed Point Cloud Data

  • 摘要: 为了更好地提高对二维点云数据的Delaunay构网效率,并充分考虑点云数据规模庞大、分布多样的特点,提出一种Hilbert曲线与多重网格划分相结合的算法.首先通过多重网格划分解决规则网格对非均匀点集划分程度无法统一的问题;其次通过添加控制点和采用Hilbert曲线顺序遍历网格的方式,避免逐行遍历网格时产生大量需要重复创建和删除的狭长三角形的情况;最后通过调整相邻网格间Hilbert曲线遍历顺序,避免遍历过程的“跳跃”现象,降低相邻网格插入点的点定位搜索步长.实验结果表明,与CGAL、规则网格和多重网格划分算法相比,该算法的构网效率对于分布均匀和非均匀的点云数据都有明显提升.

     

    Abstract: Given the enormous scale and diverse distribution of 2D point cloud data, a multi-grid combined with Hilbert curve insertion algorithm is proposed for improving the efficiency of Delaunay Triangulation. First of all, the division problem caused by regular grid insertion scheme for non-uniform distributed point set can be resolved by the multi-grid one. Then, a large amount of conflicting elongated triangles, which have to be created and deleted many times, can be avoided by adding control points and adopting Hilbert curve traversing grids. Lastly, searching steps for positioning inserting point can be reduced by adjusting the Hilbert curve in adjacent grids for the avoided “jumping” phenomenon. The experimental results show that the efficiency of Delaunay triangulation by multi-grid combined with Hilbert curve insertion algorithm can be improved significantly for both uniform and non-uniform distributed point cloud data compared with CGAL, regular grid insertion and multi-grid insertion algorithm.

     

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