This is a simple Matlab implementation to illustrate the above. It allows the user to select a number of images, and the angle of the projection and then it find the projection (using radon transform) and shows the 1D FT of this projection, and then it finds the 2D FT of the image itself.
The 2D FT is shown in a 3D view to allow the user to rotate it.
This program also illustrate back projection by allowing the user to select the number of degrees to project the image at, and then back project all the resulting projecting to reconstruct the original image (as is done in CT scans). We see that the more angles used, the closer the resulting image will be to the original image.
The 2D FT of the reconstructed image is also shown as number of degrees is increased allowing one to see the slices being added and the final 2D FT convergence to the original image 2D FT.
Streaks in the image are noticed as it is being constructed. The streaks become less noticeable as more angles added. The inverse radon transform is used for back projection.
This will bring up the GUI.