Tomography and Radon transform

Mathematical tomography is a section of mathematics that describes methods for determining the structure of an object using scattering data. Such problems arise in microscopy, medicine, and technical control. In this report, we will write out the basic differential equation of X-ray tomography. In the course of its solution, the Radon transform arises. We will establish a connection between the Fourier transform and the Radon transform, and get acquainted with the methods of its inversion.