Magnitude and direction of motion with speckle correlation and the optical fractional Fourier transform

Title: Magnitude and direction of motion with speckle correlation and the optical fractional Fourier transform
Authors: Kelly, Damien P.
Hennelly, Bryan M.
Sheridan, John T.
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Date: 10-May-2005
Abstract: The optical fractional Fourier transform (OFRT) in combination with speckle photography has previously been used to measure the magnitude of surface tilting and translation. Previous OFRT techniques used to determine motion have not been able to discern the direction of the tilt and translation. A simple new approach involving use of correlation is presented to overcome this limitation. Controlled variation of the minimum resolution and dynamical range of measurement is demonstrated. It is then experimentally confirmed that if a rigid body’s motion is captured by two OFRT systems of different orders, the direction and magnitude of both the tilting and the in-plane translation motion of the body can be independently determined without a priori knowledge. The experimental results confirm the validity of previous theoretical predictions
Funding Details: Science Foundation Ireland
Irish Research Council for Science, Engineering and Technology
Type of material: Journal Article
Publisher: Optical Society of America
Copyright (published version): 2005 Optical Society of America
Subject LCSH: Fourier transform optics
DOI: 10.1364/AO.44.002720
Language: en
Status of Item: Not peer reviewed
Appears in Collections:Electrical and Electronic Engineering Research Collection

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