Estimating the elastographic signal-to-noise ratio using correlation coefficients

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Title: Estimating the elastographic signal-to-noise ratio using correlation coefficients
Authors: Srinivasan, S.1,2, Kallel, F.1,2, Ophir, J.1,2 Jonathan.Ophir@uth.tmc.edu
Source: Ultrasound in Medicine & Biology. Mar2002, Vol. 28 Issue 3, p359-368. 10p.
Subjects: Ultrasonics, Elasticity, Computer simulation, Evaluation research, Research funding, Mathematical models, Imaging phantoms, Research methodology, Research, Theory, Comparative studies, Algorithms, Time
Abstract: In conventional elastography, strain is estimated from the gradient of the displacement (time-delay) estimates. The displacement estimates involve estimating the peak location of the cross-correlation function between matching pre- and post-compression A-lines. Bias errors in estimating the peak location of the cross-correlation function, amplified by the gradient operation on the displacement estimates (needed for the computation of the strain), could result in values of elastographic signal-to-noise ratio (SNRe) that exceed the theoretical upper bounds, thereby hindering a consistent interpretation of this parameter. These algorithmic errors have not been accounted for by the theory. We propose the use of the measured correlation coefficients in the theoretical SNRe expressions to estimate the SNRe, rather than computing them directly from the elastograms. This methodology results in values of SNRe that are lower than the theoretical upper bounds, thereby avoiding the problems associated with computing SNRe directly from the elastograms. Using simulated models of uniformly elastic phantoms, a proof of principle of such an SNRe measure is shown. (E-mail: Jonathan.Ophir@uth.tmc.edu) [Copyright &y& Elsevier]
Copyright of Ultrasound in Medicine & Biology is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: In conventional elastography, strain is estimated from the gradient of the displacement (time-delay) estimates. The displacement estimates involve estimating the peak location of the cross-correlation function between matching pre- and post-compression A-lines. Bias errors in estimating the peak location of the cross-correlation function, amplified by the gradient operation on the displacement estimates (needed for the computation of the strain), could result in values of elastographic signal-to-noise ratio (SNRe) that exceed the theoretical upper bounds, thereby hindering a consistent interpretation of this parameter. These algorithmic errors have not been accounted for by the theory. We propose the use of the measured correlation coefficients in the theoretical SNRe expressions to estimate the SNRe, rather than computing them directly from the elastograms. This methodology results in values of SNRe that are lower than the theoretical upper bounds, thereby avoiding the problems associated with computing SNRe directly from the elastograms. Using simulated models of uniformly elastic phantoms, a proof of principle of such an SNRe measure is shown. (E-mail: Jonathan.Ophir@uth.tmc.edu) [Copyright &y& Elsevier]
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  Data: <i>Copyright of Ultrasound in Medicine & Biology is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
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        Value: 10.1016/S0301-5629(01)00510-5
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        Text: English
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      – SubjectFull: Elasticity
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      – SubjectFull: Computer simulation
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      – SubjectFull: Mathematical models
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      – SubjectFull: Time
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      – TitleFull: Estimating the elastographic signal-to-noise ratio using correlation coefficients
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              Text: Mar2002
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