(15 points) Matlab can be used to model CT scanning and image reconstruction using the commands radon" and "iradon". The function "phantom" generates a test image for image encoding and reconstruction...

(15 points) Matlab can be used to model CT scanning and image reconstruction using the commands radon" and "iradon". The function "phantom" generates a test image for image encoding and reconstruction Use the command "phantom" to generate a Modified Shepp-Logan test image that is 256 pixels by 256 pixels. Paste the grayscale image here. Use the command "radon" to generate a sinogram of the test image with projections ranging from 0° to 179 Paste the grayscale sinogram here. Use the command "iradon" to convert the sinogram back into the test image. Paste the reconstructed grayscale image here. Are the original image and the reconstructed image exactly the same? What is similar between the two images and what is different? 4. (15 points) Use the test image and sinogram from question #3. Plot the sonogram values from the 00 and 90° projections. Paste the plots here. Verify that the sinogram values at 0 and 90° are correct by plotting the sum the rows or columns of the test image. Paste the summation plots here. Do the projections look identical from the sinogram and the row/column summation? What is different and what is similar.