Reconstruction from Projections

Abstract

The purpose of reconstruction is to determine the internal structure of an object, given a set of views that are radiographic projections of the object. This technique was first used for medical applications, which are still the best-known examples of its use. It is also used for nondestructive testing in an industrial context, for example, to inspect welds or composite materials, or to monitor sensitive structures such as nuclear reactors. Here, we focus on tomographic techniques. These require the introduction of a regularization energy because the physics of the acquisition makes this an ill-conditioned problem.