In a low resolution CT image more than one tissue types can be imaged by one pixel. Depending on the attenuation coefficients of the these tissues and their orientation with respect to (wrt) the X-ray beam, detected intensity values by the pixel are shown in the figure below. Calculate and compare the formulas for the detected intensity values in each case (Iout.A and lout.B). Are they equal? Information: µ1, and µ2 are attenuation coefficients of each tissue type. The thickness of the tissue block is x cm from all sides (it is a cube). I, is the total intensity of X-Ray coming on the tissue. I, is the X-ray intensity that comes on the left half of the cube. I2 is the X-ray intensity that comes on the right half of the cube. Iout.A and lout.B are the total X-ray intensities that come out of the tissue on the other side and it is equal to the X-Ray intensity that gets detected by the detector. Case A Case B H2/ H1 lo = 1, + l2 lo = 1 + l2 lout,A = ? 12 lout,B = ? 12 X-Ray x/2 x/2

In a low resolution CT image more than one tissue types can be imaged by one pixel. Depending on the attenuation coefficients of the these tissues and their orientation with respect to (wrt) the X-ray beam, detected intensity values by the pixel are shown in the figure below. Calculate and compare the formulas for the detected intensity values in each case (Iout.A and lout.B). Are they equal? Information: µ1, and µ2 are attenuation coefficients of each tissue type. The thickness of the tissue block is x cm from all sides (it is a cube). I, is the total intensity of X-Ray coming on the tissue. I, is the X-ray intensity that comes on the left half of the cube. I2 is the X-ray intensity that comes on the right half of the cube. Iout.A and lout.B are the total X-ray intensities that come out of the tissue on the other side and it is equal to the X-Ray intensity that gets detected by the detector. Case A Case B H2/ H1 lo = 1, + l2 lo = 1 + l2 lout,A = ? 12 lout,B = ? 12 X-Ray x/2 x/2