Question 12 (4 points): This Figure shows the principles of algebraic reconstruction technique for tomographic imaging. As shown in the Figure, the object is composed of four voxels with attenuation coefficients of $\mu_1$, $\mu_2$, $\mu_3$, $\mu_4$, accordingly.
The attenuation equation: $I = I_0 e^{-\mu x}$ and the linear equation after logarithm transform:
$\log(I) = \log(I_0) - \mu x$
Given: $\log_e(I_0) = 20$, $\log_e(I_1) = 8$, $\log_e(I_2) = 6$, $\log_e(I_3) = 5$.
Each voxel is defined as a cube of 1mm×1mm×1mm in size.
Given $\mu_1 = 5mm^{-1}$, please calculate the $\mu_2$
Io
Io
Io
I1
$\mu_1$
$\mu_2$
I2
Io
$\mu_3$
$\mu_4$
I3
I4
5