S-hull:用于德洛内三角剖分的快速径向扫描外壳例程
S-hull: a fast radial sweep-hull routine for Delaunay triangulation
摘要:
提出了一种新的O(nlog(n))算法,用于二维点集的德洛内三角剖分。该算法的新组件是径向传播的\emph{sweep-hull}(从径向排序的2D点集顺序创建,给出非重叠三角剖分),与最后的三角形翻转步骤配对,给出Delaunay三角剖分。在经验测试中,该算法运行在随机生成的点集上的二维德洛内三角剖分的q壳的时间的大约一半。
英文摘要:
A new O(nlog(n)) algorithm is presented for performing Delaunay triangulation of sets of 2D points. The novel component of the algorithm is a radially propagating \emph{sweep-hull} (sequentially created from the radially sorted set of 2D points, giving a non-overlapping triangulation), paired with a final triangle flipping step to give the Delaunay triangluation. In empirical tests the algorithm runs in approximately half the time of q-hull for 2D Delaunay triangulation on randomly generated point sets.
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