Max filtering with reflection groups

Dustin G. Mixon; Daniel Packer

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arXiv · 2212.05104

Max filtering with reflection groups

Dustin G. Mixon·Daniel Packer

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Abstract

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.

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Dustin G. Mixon, Daniel Packer. 2022-12-09. Max filtering with reflection groups. https://arxiv.org/abs/2212.05104

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