title: Unitary transformation between Cartesian- and polar-pixellated screens.
abstract: A unitary transformation between Cartesian and polar pixellations of finite two-dimensional images is obtained from the su(2) model for discrete and finite signals. This transformation analyzes the original image into its finite Cartesian "Laguerre-Kravchuk" modes (involving Wigner little-d functions) and synthesizes it back using a polar mode basis with the same set of mode coefficients. The polar basis is derived from the quantum angular momentum theory, and its modes are given by Clebsch-Gordan coefficients.
authors.affiliation: Division de Fisica Applicada, Centro de Investigacion Cientifica y Estudios Superiores de Ensenada, Baja California, Mexico. levicent@gmail.com
authors.forename: Luis Edgar
authors.initials: LE
authors.lastname: Vicent
authors.forename: Kurt Bernardo
authors.initials: KB
authors.lastname: Wolf