Fast Convolutions on ${\mathbb{Z}}^2\backslash SE(2)$ via Radial Translational Dependence and Classical FFT

Arash Ghaani Farashahi, Gregory S. Chirikjian

Let ${\mathbb{Z}}^2\backslash SE(2)$ denote the right coset space of the subgroup consisting of translational isometries of the orthogonal lattice ${\mathbb{Z}}^2$ in the non-Abelian g…