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Figure 3
Illustration of the mathematical operations used to calculate the transmission factors for each voxel in the case of normal incident X-rays. In the first step an individual transmission factor for each voxel is calculated. Secondly, the transmission factors are cumulatively multiplied along the depth of the sample and shifted by one layer down to obtain the amount of intensity reaching a certain depth z. Finally, element-wise multiplication with the original material distribution M ensures empty voxels will have an effective scattering volume of 0.

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