title: Unitary rotation and gyration of pixelated images on rectangular screens.
abstract: In the two space dimensions of screens in optical systems, rotations, gyrations, and fractional Fourier transformations form the Fourier subgroup of the symplectic group of linear canonical transformations: U(2)F⊂Sp(4,R). Here, we study the action of this Fourier group on pixelated images within generic rectangular Nx×Nyscreens; its elements here compose properly and act unitarily, i.e., without loss of information.
authors.forename: Alejandro R
authors.initials: AR
authors.lastname: Urzúa
authors.forename: Kurt Bernardo
authors.initials: KB
authors.lastname: Wolf