title: Nonseparable two-dimensional fractional fourier transform.
abstract: Previous generalizations of the fractional Fourier transform to two dimensions assumed separable kernels. We present a nonseparable definition for the two-dimensional fractional Fourier transform that includes the separable definition as a special case. Its digital and optical implementations are presented. The usefulness of the nonseparable transform is justified with an image-restoration example.
authors.forename: A
authors.initials: A
authors.lastname: Sahin
authors.forename: M A
authors.initials: MA
authors.lastname: Kutay
authors.forename: H M
authors.initials: HM
authors.lastname: Ozaktas