Computerized tomography and its applications: a guided tour
J.B.T.M. Roerdink. Computerized tomography and its applications: a guided tour. Nieuw Archief voor Wiskunde 10 (3), pp. 277-308, November 1992.
We present a review of the mathematical principles of computerized tomography. Topics treated include the role of the Radon Transform and related transforms, inversion formulas, uniqueness, ill-posedness and stability, practical reconstruction algorithms, and various generalizations such as diffraction tomography. References to the most relevant literature are cited. Several applications are briefly discussed; in particular, we present a case study of a mathematical problem arising in cardiac magnetic resonance imaging.
Download in gzipped postscript format© Nieuw Archief voor Wiskunde. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the publisher.
This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. In most cases, these works may not be reposted without the explicit permission of the copyright holder.