ICNPAA 2010: Mathematical Problems in
Engineering, Aerospace and Sciences

One of the major inventions in last century is the CT-scanner (computerized Tomography). Cormack and Hounsfield got the Nobel-prize in Medicine 1979 for their work with computed axial tomography. The CT-scanner can be used for reconstruction of X-ray absorption in the interior of structures, such as patients or machine parts with possible internal fractures. The crucial idea for the image reconstruction is that Radon transform can provide a natural link between the image function of the object and the measurement of the machine such as CT-scanner and MRI. In this talk we will give a brief introduction to Radon transform, the generalized Radon transform and their relations with microlocal analysis theory. We will also provide some of their applications to image processing.