Multidimensional empirical wavelet transform
Image and Video Processing
2024-12-12 v2
Abstract
The empirical wavelet transform is a data-driven time-scale representation consisting of an adaptive filter bank. Its robustness to data has made it the subject of intense developments and an increasing number of applications in the last decade. However, it has been mostly studied theoretically for signals and its extension to images is limited to a particular generating function. This work presents a general framework for multidimensional empirical wavelet transform based on any wavelet kernel. It also provides conditions to build wavelet frames for both continuous and discrete transforms. Moreover, numerical simulations of transforms are given.
Cite
@article{arxiv.2405.06188,
title = {Multidimensional empirical wavelet transform},
author = {Charles-Gérard Lucas and Jérôme Gilles},
journal= {arXiv preprint arXiv:2405.06188},
year = {2024}
}