Shape determination of unidimensional objects: the virtual image correlation method

The proposed method, named Virtual Image Correlation, allows one to identify an analytical expression of the shape of a curvilinear object from its image. It uses a virtual beam, whose curvature field is expressed as a truncated mathematical series. The virtual beam width only needs to be close to...

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Main Authors: Auradou H., Vatteville J., Semin B., Francois M.
Format: Article
Language:English
Published: EDP Sciences 2010-06-01
Series:EPJ Web of Conferences
Online Access:http://dx.doi.org/10.1051/epjconf/20100610004
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author Auradou H.
Vatteville J.
Semin B.
Francois M.
author_facet Auradou H.
Vatteville J.
Semin B.
Francois M.
author_sort Auradou H.
collection DOAJ
description The proposed method, named Virtual Image Correlation, allows one to identify an analytical expression of the shape of a curvilinear object from its image. It uses a virtual beam, whose curvature field is expressed as a truncated mathematical series. The virtual beam width only needs to be close to the physical one; its gray level (in the transverse direction) is bell-shaped. The method consists in finding the coefficients of the series for which the correlation between physical and virtual beams is the best. The accuracy and the robustness of the method is shown by the mean of two examples. The first details a Young’s modulus identification from a cantilever beam image. The second is relative to a thermal plume image, that have a weak contrast and a lot of noise.
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spelling doaj.art-c3a66409043146c6b314695b136173d52022-12-21T19:30:52ZengEDP SciencesEPJ Web of Conferences2100-014X2010-06-0161000410.1051/epjconf/20100610004Shape determination of unidimensional objects: the virtual image correlation methodAuradou H.Vatteville J.Semin B.Francois M.The proposed method, named Virtual Image Correlation, allows one to identify an analytical expression of the shape of a curvilinear object from its image. It uses a virtual beam, whose curvature field is expressed as a truncated mathematical series. The virtual beam width only needs to be close to the physical one; its gray level (in the transverse direction) is bell-shaped. The method consists in finding the coefficients of the series for which the correlation between physical and virtual beams is the best. The accuracy and the robustness of the method is shown by the mean of two examples. The first details a Young’s modulus identification from a cantilever beam image. The second is relative to a thermal plume image, that have a weak contrast and a lot of noise.http://dx.doi.org/10.1051/epjconf/20100610004
spellingShingle Auradou H.
Vatteville J.
Semin B.
Francois M.
Shape determination of unidimensional objects: the virtual image correlation method
EPJ Web of Conferences
title Shape determination of unidimensional objects: the virtual image correlation method
title_full Shape determination of unidimensional objects: the virtual image correlation method
title_fullStr Shape determination of unidimensional objects: the virtual image correlation method
title_full_unstemmed Shape determination of unidimensional objects: the virtual image correlation method
title_short Shape determination of unidimensional objects: the virtual image correlation method
title_sort shape determination of unidimensional objects the virtual image correlation method
url http://dx.doi.org/10.1051/epjconf/20100610004
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AT vattevillej shapedeterminationofunidimensionalobjectsthevirtualimagecorrelationmethod
AT seminb shapedeterminationofunidimensionalobjectsthevirtualimagecorrelationmethod
AT francoism shapedeterminationofunidimensionalobjectsthevirtualimagecorrelationmethod