扇形分解的几何方法
A geometric method of sector decomposition
摘要：
提出了一种新的扇区分解中IR分解的几何方法。该问题转化为一组凸几何问题。后者的问题是解决使用组合几何的算法。此方法提供了一个确定性算法，并且永远不会陷入无限循环。结果扇区的数量取决于三角测量的算法。我们的测试实现与其他现有的迭代方法相比，显示了更少的扇区数。
英文摘要：
We propose a new geometric method of IR factorization in sector decomposition. The problem is converted into a set of problems in convex geometry. The latter problems are solved using algorithms in combinatorial geometry. This method provides a deterministic algorithm and never falls into an infinite loop. The number of resulting sectors depends on the algorithm of triangulation. Our test implementation shows smaller number of sectors comparing with other existing methods with iterations.
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