论文标题
用反射组的最大过滤
Max filtering with reflection groups
论文作者
论文摘要
给定有限维真实的内部产品空间V和线性异构体的有限亚组G,最大过滤提供了轨道空间V/G的Bilipschitz Euclidean嵌入。我们在g是反射组的设置中确定最小失真的最大过滤图。我们的分析涉及Coxeter的分类和半决赛编程之间的相互作用。
Given a finite-dimensional real inner product space V and a finite subgroup G of linear isometries, max filtering affords a bilipschitz Euclidean embedding of the orbit space V/G. We identify the max filtering maps of minimum distortion in the setting where G is a reflection group. Our analysis involves an interplay between Coxeter's classification and semidefinite programming.