The central subject of this book is the reconstruction of a function from line or plane integrals, with special emphasis on applications in science, radiology and engineering. It not only covers the relevant mathematical theory of the Radon transform and related transforms, but also studies more practical questions such as sampling, resolution, stability and accuracy. Much of the book is devoted to the derivation, analysis and practical examination of reconstruction algorithms, both for standard problems and problems with incomplete data. An appendix gives a brief review of the mathematical background needed, making the book self-contained. Also included is a four- page section of colour plates showing the results of image reconstruction by various methods, using both complete and incomplete data.
"synopsis" may belong to another edition of this title.
This book provides a unified view of tomographic techniques, a common mathematical framework, and an in-depth treatment of reconstruction algorithms. It focuses on the reconstruction of a function from line or plane integrals, with special emphasis on applications in radiology, science, and engineering.
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