Today, practical application of the Radon transform, especially in medical tomography, has continued to capture the attention of mathematicians, partly because of the range of new applications that have been found. But the most fascinating aspect for mathematicians may be the opportunity to apply deep mathematics to tackle new problems arising from real-world applications.
The papers in this volume cover various problems arising from and related to computerized tomography. The main idea unifying the papers is that the methods used satisfy strong requirements imposed by practical applications of computerized tomography, such as reconstruction of nonsmooth functions, pointwise convergence, and discretization in computational algorithms. The papers draw upon a broad range of mathematical areas, including integral geometry, the theory of several complex variables, the theory of distributions, and integral transformations. In addition, applications to reconstruction of biological objects and mathematical economics are given.
