A Two Plus One Dimensional Continuous Wavelet Transform
Raja Milad, Keith F. Taylor
TL;DR
This paper introduces new continuous wavelet transforms based on a unique square--integrable representation of the affine transformation group in two dimensions, expanding analysis tools for functions of three variables.
Contribution
It presents two novel realizations of the affine group representation and derives new continuous wavelet transforms acting on functions of two plus one variables.
Findings
Two new realizations of the affine group representation
Novel continuous wavelet transforms for functions of three variables
Enhanced analysis capabilities for multi-variable functions
Abstract
The group of invertible affine transformations of has, up to equivalence, one square--integrable representation. Two new realizations of this representation are presented and novel continuous wavelet transforms, acting on functions of two plus one variables, are derived.
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Taxonomy
TopicsImage and Signal Denoising Methods · Mathematical Analysis and Transform Methods · Medical Image Segmentation Techniques