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.
Titolo: | The Radon transform intertwines wavelets and shearlets |
Autori: | |
Data di pubblicazione: | 2018 |
Rivista: | |
Handle: | http://hdl.handle.net/11567/887169 |
Appare nelle tipologie: | 01.01 - Articolo su rivista |
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File | Descrizione | Tipologia | |
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shearlet_radon_bw.pdf | Documento in Post-print | Administrator Richiedi una copia | |
The-Radon-transform-intertwines-wavelet_2018_Applied-and-Computational-Harmo.pdf | Documento in versione editoriale | Administrator Richiedi una copia |
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