title: Motion detection using extended fractional Fourier transform and digital speckle photography.
abstract: Digital speckle photography is a useful tool for measuring the motion of optically rough surfaces from the speckle shift that takes place at the recording plane. A simple correlation based digital speckle photographic system has been proposed that implements two simultaneous optical extended fractional Fourier transforms (EFRTs) of different orders using only a single lens and detector to simultaneously detect both the magnitude and direction of translation and tilt by capturing only two frames: one before and another after the object motion. The dynamic range and sensitivity of the measurement can be varied readily by altering the position of the mirror/s used in the optical setup. Theoretical analysis and experiment results are presented.
authors.affiliation: 1Department of Mechanical Engineering, National University of Singapore, 9 Engineering Drive 1, Singapore.
authors.forename: Basanta
authors.initials: B
authors.lastname: Bhaduri
authors.forename: C J
authors.initials: CJ
authors.lastname: Tay
authors.forename: C
authors.initials: C
authors.lastname: Quan
authors.forename: Colin J R
authors.initials: CJ
authors.lastname: Sheppard
mesh_terms: D000465:Algorithms; D004867:Equipment Design; D019544:Equipment Failure Analysis; D005583:Fourier Analysis; D007090:Image Interpretation, Computer-Assisted / Q000295:instrumentation* / Q000379:methods; D007909:Lenses; D009038:Motion; D010363:Pattern Recognition, Automated / Q000379:methods*; D010781:Photography / Q000295:instrumentation* / Q000379:methods*; D012815:Signal Processing, Computer-Assisted / Q000295:instrumentation*