Since their emergence in 1917, tomography and inverse problems remain
active and important fields that combine pure and applied mathematics
and provide strong interplay between diverse mathematical problems and
applications. The applied side is best known for medical and scientific
use, in particular, medical imaging, radiotherapy, and industrial
non-destructive testing. Doctors use tomography to see the internal
structure of the body or to find functional information, such as
metabolic processes, noninvasively. Scientists discover defects in
objects, the topography of the ocean floor, and geological information
using X-rays, geophysical measurements, sonar, or other data. This
volume, based on the lectures in the Short Course The Radon Transform
and Applications to Inverse Problems at the American Mathematical
Society meeting in Atlanta, GA, January 3-4, 2005, brings together
articles on mathematical aspects of tomography and related inverse
problems.