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Shapiro and Kneib (1993) estimated scattering attenuation in acoustic inhomogeneous media resulting from amplitude fluctuations using the Rytov approximation for the wavefield in a weak fluctuation regime.
In order to measure the accuracy of this algorithm, we define maximum relative error and mean square error of estimated scattering coefficient as Equations (16) and (17).
This study investigated the influence of the number and diameter of fibers included in the MDSFR analysis on the accuracy of estimated scattering parameters.
To investigate the potential utility of the MDSFR approach to analyze spectral measurements in tissue, it is important to determine the influence that an unknown and potentially wavelength-dependent PF (and γ) may have on the estimated scattering properties.
Simulated measurements are used to characterize the influence that the number of fibers and the range of fiber diameters included in the MDSFR analysis have on the accuracy of the estimated scattering parameters.
In cases when the parameters of scatterers have been estimated, the NLS algorithm may be applied to the data with previously estimated scattering coefficient responses removed via the CLEAN algorithm.
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On the right side of Eq. 5, the first term is the measured count matrix and the second term is the estimated scattered count matrix.
Therefore, to investigate the effect of such inaccurate scatter estimates and the potential benefit when scatter estimation is based on attenuation maps including hardware components, we calculated and compared estimated scatter distributions corresponding to the uncorrected, xMLAA-, and CTAC-based attenuation maps.
To reduce statistical fluctuation of the estimated scatter, a filter f is applied to the scatter term in Eq. 5.
In this proposed algorithm, ({vec {mu }} = {{A},{kern 3pt} {B},{kern 3pt}{C}}), which parameterizes the RMC of an individual scattering center, is estimated scatter by scatter.
A possible explanation is that in very low count studies, the estimated scatter distribution may be inaccurate.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com