**Proceedings of Symposia in Applied Mathematics**

Volume: 63;
2006;
158 pp;
Hardcover

MSC: Primary 92; 44; 65; 94; 42;

Print ISBN: 978-0-8218-3930-0

Product Code: PSAPM/63

List Price: $42.00

Individual Member Price: $33.60

**Electronic ISBN: 978-0-8218-9278-7
Product Code: PSAPM/63.E**

List Price: $42.00

Individual Member Price: $33.60

# The Radon Transform, Inverse Problems, and Tomography

Share this page *Edited by *
*Gestur Ólafsson; Eric Todd Quinto*

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. The articles cover
introductory material, theoretical problems, and practical issues in
3-D tomography, impedance imaging, local tomography, wavelet methods,
regularization and approximate inverse, sampling, and emission
tomography. All contributions are written for a general audience, and
the authors have included references for further reading.

#### Readership

Graduate students and research mathematicians interested in inverse problems and mathematical tomography.

# Table of Contents

## The Radon Transform, Inverse Problems, and Tomography

- Contents v6 free
- Preface vii8 free
- An Introduction to X-ray Tomography and Radon Transforms 114 free
- Development of Algorithms in Computerized Tomography 2538
- Fan-Beam Tomography and Sampling Theory 4356
- Generalized Transforms of Radon Type and Their Applications 6780
- Inverse Problems in Pipeline Inspection 93106
- Robust Interferometric Imaging in Random Media 129142
- Index 157170