Magnitude and direction of motion with speckle correlation and the optical fractional Fourier transform
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|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.
|Permanent link:||http://hdl.handle.net/10197/3383||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|DOI:||10.1364/AO.44.002720||Language:||en||Status of Item:||Not peer reviewed|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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