Effect of Sensor Noise on the Resolution and Spatial Resolution of Displacement and Strain Maps Estimated with the Grid Method
Identifieur interne : 001E43 ( Hal/Corpus ); précédent : 001E42; suivant : 001E44Effect of Sensor Noise on the Resolution and Spatial Resolution of Displacement and Strain Maps Estimated with the Grid Method
Auteurs : Michel Grediac ; Frédéric SurSource :
- Strain [ 0039-2103 ] ; 2014-02.
Descripteurs français
- mix :
Abstract
This paper deals with noise propagation from camera sensor to displacement and strain maps when the grid method is employed to estimate these quantities. It is shown that closed-form equations can be employed to predict the link between metrological characteristics such as resolution and spatial resolution in displacement and strain maps on the one hand and various quantities characterising grid images such as brightness, contrast and standard deviation of noise on the other hand. Various numerical simulations confirm first the relevance of this approach in the case of an idealised camera sensor impaired by a homoscedastic Gaussian white noise. Actual CCD or CMOS sensors exhibit, however, a heteroscedastic noise. A pre-processing step is therefore proposed to first stabilise noise variance prior to employing the predictive equations, which provide the resolution in strain and displacement maps due to sensor noise. This step is based on both a modelling of sensor noise and the use of the generalised Anscombe transform to stabilise noise variance. Applying this procedure in the case of a translation test confirms that it is possible to model correctly noise propagation from sensor to displacement and strain maps, and thus also to predict the actual link between resolution, spatial resolution and standard deviation of noise in grid images.
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DOI: 10.1111/str.12070
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Hal:hal-00937972Le document en format XML
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It is shown that closed-form equations can be employed to predict the link between metrological characteristics such as resolution and spatial resolution in displacement and strain maps on the one hand and various quantities characterising grid images such as brightness, contrast and standard deviation of noise on the other hand. Various numerical simulations confirm first the relevance of this approach in the case of an idealised camera sensor impaired by a homoscedastic Gaussian white noise. Actual CCD or CMOS sensors exhibit, however, a heteroscedastic noise. A pre-processing step is therefore proposed to first stabilise noise variance prior to employing the predictive equations, which provide the resolution in strain and displacement maps due to sensor noise. This step is based on both a modelling of sensor noise and the use of the generalised Anscombe transform to stabilise noise variance. Applying this procedure in the case of a translation test confirms that it is possible to model correctly noise propagation from sensor to displacement and strain maps, and thus also to predict the actual link between resolution, spatial resolution and standard deviation of noise in grid images.</div></front></TEI><hal api="V3"><titleStmt><title xml:lang="en">Effect of Sensor Noise on the Resolution and Spatial Resolution of Displacement and Strain Maps Estimated with the Grid Method</title><author role="aut"><persName><forename type="first">Michel</forename><surname>Grediac</surname></persName><email>michel.grediac@univ-bpclermont.fr</email><idno type="halauthor">459023</idno><affiliation ref="#struct-186882"></affiliation></author><author role="aut"><persName><forename type="first">Frédéric</forename><surname>Sur</surname></persName><email>frederic.sur@loria.fr</email><ptr type="url" target="http://www.loria.fr/~sur/"></ptr><idno type="halauthor">780841</idno><affiliation ref="#struct-205123"></affiliation></author><editor role="depositor"><persName><forename>Frédéric</forename><surname>Sur</surname></persName><email>frederic.sur@loria.fr</email></editor></titleStmt><editionStmt><edition n="v1" type="current"><date type="whenSubmitted">2014-09-12 14:30:57</date><date type="whenModified">2016-05-11 13:20:15</date><date type="whenReleased">2014-09-12 16:05:47</date><date type="whenProduced">2014-02</date><date type="whenEndEmbargoed">2014-09-12</date><ref type="file" target="https://hal.inria.fr/hal-00937972/document"><date notBefore="2014-09-12"></date></ref><ref type="file" subtype="author" n="1" target="https://hal.inria.fr/hal-00937972/file/strain_grediac_sur_2014.pdf"><date notBefore="2014-09-12"></date></ref></edition><respStmt><resp>contributor</resp><name key="104159"><persName><forename>Frédéric</forename><surname>Sur</surname></persName><email>frederic.sur@loria.fr</email></name></respStmt></editionStmt><publicationStmt><distributor>CCSD</distributor><idno type="halId">hal-00937972</idno><idno type="halUri">https://hal.inria.fr/hal-00937972</idno><idno type="halBibtex">grediac:hal-00937972</idno><idno type="halRefHtml">Strain, Wiley-Blackwell, 2014, 50 (1), pp.1-27. <http://onlinelibrary.wiley.com/doi/10.1111/str.12070/abstract>. <10.1111/str.12070></idno><idno type="halRef">Strain, Wiley-Blackwell, 2014, 50 (1), pp.1-27. <http://onlinelibrary.wiley.com/doi/10.1111/str.12070/abstract>. <10.1111/str.12070></idno></publicationStmt><seriesStmt><idno type="stamp" n="CNRS">CNRS - 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It is shown that closed-form equations can be employed to predict the link between metrological characteristics such as resolution and spatial resolution in displacement and strain maps on the one hand and various quantities characterising grid images such as brightness, contrast and standard deviation of noise on the other hand. Various numerical simulations confirm first the relevance of this approach in the case of an idealised camera sensor impaired by a homoscedastic Gaussian white noise. Actual CCD or CMOS sensors exhibit, however, a heteroscedastic noise. A pre-processing step is therefore proposed to first stabilise noise variance prior to employing the predictive equations, which provide the resolution in strain and displacement maps due to sensor noise. This step is based on both a modelling of sensor noise and the use of the generalised Anscombe transform to stabilise noise variance. Applying this procedure in the case of a translation test confirms that it is possible to model correctly noise propagation from sensor to displacement and strain maps, and thus also to predict the actual link between resolution, spatial resolution and standard deviation of noise in grid images.</abstract></profileDesc></hal></record>Pour manipuler ce document sous Unix (Dilib)
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