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Unfortunately, to reconstruct we have to do more than just convolution and backprojection. There are several real-life issues that we must deal with before we can actually reconstruct the image. These include the non-uniformity of the x-ray beam, that the original images contain x-ray intensity, not "apparent thickness" (how much stuff the beam is passing through), that the detector may have bad elements, and that the beam may not be centered on the sample’s rotation axis.