Coxeter Groups, Wavelets, Multiresolution and Sampling
M. Dobrescu, G. Olafsson
TL;DR
This paper explores the relationship between finite Coxeter groups and the development of wavelet sets, multiresolution analysis, and sampling methods, highlighting their mathematical connections.
Contribution
It introduces a novel perspective on how Coxeter groups can be utilized in wavelet theory and multiresolution analysis.
Findings
Established links between Coxeter groups and wavelet set construction
Proposed new methods for multiresolution analysis using Coxeter symmetries
Suggested applications in sampling techniques
Abstract
In this short note we discuss the interplay between finite Coxeter groups and construction of wavelet sets, generalized multiresolution analysis and sampling.
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Taxonomy
TopicsImage and Signal Denoising Methods · Mathematical Analysis and Transform Methods · Image Processing Techniques and Applications