Sahin, A.Kutay, M. A.Özaktaş, Haldun M.2019-01-312019-01-3119981559-128Xhttp://hdl.handle.net/11693/48583Previous 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.EnglishCylindrical lensesFourier transformsFractional Fourier transformsImage processing algorithmsInterpolationTransformsArticle10.1364/AO.37.0054442155-3165