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arXiv · 1703.09578

Radon transform intertwines shearlets and wavelets

Francesca Bartolucci·Filippo De Mari·Ernesto De Vito
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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.

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Francesca Bartolucci, Filippo De Mari, Ernesto De Vito. 2017-03-28. Radon transform intertwines shearlets and wavelets. https://arxiv.org/abs/1703.09578

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