Radon transform intertwines shearlets and wavelets
Functional Analysis
2017-03-29 v1
Abstract
We prove that the unitary affine Radon transform intertwines the quasi-regular representation of a class of semidirect products, built by shearlet dilation groups and translations, and the tensor product of a standard wavelet representation with a wavelet-like representation. This yields a formula for shearlet coefficients that involves only integral transforms applied to the affine Radon transform of the signal, thereby opening new perspectives in the inversion of the Radon transform.
Keywords
Cite
@article{arxiv.1703.09578,
title = {Radon transform intertwines shearlets and wavelets},
author = {Francesca Bartolucci and Filippo De Mari and Ernesto De Vito},
journal= {arXiv preprint arXiv:1703.09578},
year = {2017}
}
Comments
26 pages, 1 figure