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The right bar indicates the gray values, which for real data can be the linear attenuation coefficient values.
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where μ is the linear attenuation per pixel for the surrounding material.
When μw and μ are the linear attenuation coefficients of water and a substance of interest, the CT number is defined as.
where μ a (0.17 cm -1 for 140 keV) is the linear attenuation coefficient of accrylic, μ w (0.15 cm -1 for 140 keV) is the linear attenuation coefficient of water, h is the height of the column for each hole, and l is the height of the background columns.
where is the intensity of the X-ray radiation at the radiographic plane, is the intensity of X-ray radiation at the source, is the linear attenuation coefficient of the voxel at whose width is (notice that the effect of beam-hardening [32] is not considered).
The basic parameter is the linear attenuation coefficient (LAC) for X-rays, which is the product of the mass attenuation coefficient (MAC) by the density of the unit cell.
In a voxel with average linear attenuation coefficient μ x, the corresponding HU value is given by: HU = 1000 × (μ x - μwater)/μwater - μair where μwater and μair are the linear attenuation coefficients of water and air; i.e., attenuation values expressed in HU are relative to the attenuation of radiation in water.
Based on the CT Hounsfield (HU) numbers, the values are converted to the linear attenuation coefficients.
Attenuation correction (Chang's first-order approximation) was performed using the linear attenuation correction (μ = 0.110 cm-1).
Tissue mineral density was derived from the linear attenuation coefficient of threshold bone through precalibration of the apparatus for the acquisition voltage chosen.
The established HU scales are defined via their tomographically reconstructed signals for water (0 HU) and for air (− 1000 HU), such that the HU number for tissue x is calculated via the linear attenuation coefficient μ x in case of the attenuation HU scale: H U x = 1000 ⋅ μ x − μ water μ water − μ air.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com