Papers › Max filtering with reflection groups

Max filtering with reflection groups

9 Dec 2022arXiv:2212.05104links table onlyarchive 2025-07-28

Dustin G. Mixon, Daniel Packer

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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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