Computing multidimensional Delaunay tessellations

被引:5
|
作者
Devijver, Pierre A. [1 ]
Dekesel, Michel [1 ]
机构
[1] Philips Res Lab, B-1170 Brussels, Belgium
关键词
Voronoi tessellations; Delaunay triangulations; computational geometry;
D O I
10.1016/0167-8655(83)90069-7
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
We recall some properties of Voronoi and Delaunay tessellations in any numbers of dimensions. We then propose a solution to the following problem: Given the Delaunay tessellation of n d-dimensional data points X-1, ... , X-n, the problem is to insert a new data point X and to update the tessellation accordingly. The solution proposed achieves minimum space-complexity.
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页码:311 / 316
页数:6
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