title: Speckle photography: mixed domain fractional Fourier motion detection.
abstract: A reflection-based optical implementation of two simultaneous scale-invariant fractional Fourier transforms (FRTs) is used to develop a novel compact speckle photographic system. The system allows the independent determination of both surface tilting and in-plane translational motion from two sequential mixed domain images captured using a single camera.
authors.affiliation: School of Electrical, Electronic, and Mechanical Engineering, College of Engineering, Mathematical, and Physical Sciences, University College Dublin, Belfield, Dublin 4, Republic of Ireland.
authors.forename: Robert E
authors.initials: RE
authors.lastname: Patten
authors.forename: Bryan M
authors.initials: BM
authors.lastname: Hennelly
authors.forename: Damien P
authors.initials: DP
authors.lastname: Kelly
authors.forename: Feidhlim T
authors.initials: FT
authors.lastname: O'Neill
authors.forename: Ying
authors.initials: Y
authors.lastname: Liu
authors.forename: John T
authors.initials: JT
authors.lastname: Sheridan