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The Scientific World Journal
Volume 2014, Article ID 704368, 12 pages
http://dx.doi.org/10.1155/2014/704368
Research Article

A Simulation Analysis of an Extension of One-Dimensional Speckle Correlation Method for Detection of General In-Plane Translation

1Joint Laboratory of Optics of Palacky University and Institute of Physics of the Academy of Sciences of the Czech Republic, Institute of Physics of the Academy of Sciences of the Czech Republic, 17. listopadu, 50a, 77207 Olomouc, Czech Republic
2Regional Centre of Advanced Technologies and Materials, Joint Laboratory of Optics of Palacky University and Institute of Physics of the Academy of Sciences of the Czech Republic, Faculty of Science, Palacky University, 17. listopadu, 12, 77146 Olomouc, Czech Republic

Received 9 September 2013; Accepted 1 December 2013; Published 30 January 2014

Academic Editors: A. Dalla Mora and C.-F. Lin

Copyright © 2014 Ivana Hamarová et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The purpose of the study is to show a proposal of an extension of a one-dimensional speckle correlation method, which is primarily intended for determination of one-dimensional object's translation, for detection of general in-plane object's translation. In that view, a numerical simulation of a displacement of the speckle field as a consequence of general in-plane object's translation is presented. The translation components and representing the projections of a vector a of the object's displacement onto both - and -axes in the object plane are evaluated separately by means of the extended one-dimensional speckle correlation method. Moreover, one can perform a distinct optimization of the method by reduction of intensity values representing detected speckle patterns. The theoretical relations between the translation components and of the object and the displacement of the speckle pattern for selected geometrical arrangement are mentioned and used for the testifying of the proposed method's rightness.