Brummer et al. also characterize brain tissue intensities in uncorrected, PD-weighted MR scans . They show that voxels inside the brain have normally distributed intensities, , with standard deviation, :
Figure 2.8 shows the histogram of brain voxel intensities superimposed on the high-intensity part of a PD-weighted MRI histogram. Indeed, the distribution of brain voxel intensities appears to be normally distributed. Qualitatively, Figure 2.9 verifies that the histogram of brain voxel intensities represents a normal distribution.
Figure 2.8: The high-intensity region of a histogram of a PD-weighted MR volume with the brain voxel histogram overlaid. The intensities of the brain voxels appear to be normally distributed.
Figure 2.9: Overlaying a normal distribution on the brain voxel intensity histogram shows that the brain voxel intensities are (approximately) normally distributed in a PD-weighted MRI volume.
Brain voxel intensities in a T2-weighted MR scan are somewhat normally distributed. However, Figure 2.10 shows that the distribution of brain voxel intensities is obviously skewed.
Figure 2.10: The high-intensity region of a histogram of a T2-weighted MR volume with the brain voxel histogram overlaid. The intensities of the brain voxels are not quite normally distributed.