2017/03/28 by Francesca Bartolucci, Bartolucci, Francesca, Filippo De Mari +3 · 1 citation
Engineering · Mathematics · Computer Science · #Advanced Image Fusion Techniques #Mathematical Analysis and Transform Methods #Image and Signal Denoising Methods
paper · pdf · doi:10.48550/arxiv.1703.09578
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.