title: On the inter-conversion between Hermite and Laguerre local image expansions.
abstract: The nice relationship existing among the Hermite-Gauss and the Laguerre-Gauss image expansions, whose basis functions span the same signal space, is investigated. As a result, a novel efficient method for Cartesian to polar coordinate inter-conversion, especially suited for dedicated hardware realization, is proposed. Applications to local image rotation, based on the simple steerability of the Laguerre-Gauss expansion, and to local image analysis, based on Gaussian derivatives, are considered in detail. A possible fixed-point realization of the proposed inter-conversion scheme is discussed.
authors.affiliation: Department of Information Engineering, Electronics and Telecommunications (DIET), University of Rome La Sapienza, I-00184 Rome, Italy. dic@infocom.uniroma1.it
authors.forename: Elio D
authors.initials: ED
authors.lastname: Di Claudio
authors.forename: Giovanni
authors.initials: G
authors.lastname: Jacovitti
authors.forename: Alberto
authors.initials: A
authors.lastname: Laurenti