Motion detection using speckle photography and extended fractional Fourier transform

Abstract

Speckle photography explores the possibility of determining the motion like in-plane translation and out-of-plane rotation or tilt of optically rough surface from the speckle shift that takes place at the recording plane. A simple correlation based 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. Theoretical analysis and experiment results are presented. © 2010 Copyright SPIE - The International Society for Optical Engineering.