Analytic Tomography

ISBN-13: 9780521793476 / Angielski / Twarda / 2006 / 410 str.

Andrew Markoe

Opis

This book is a comprehensive study of the Radon transform, which operates on a function by integrating it over hyperplanes. The book begins with an elementary and graphical introduction to the Radon transform, tomography and CT scanners, followed by a rigorous development of the basic properties of the Radon transform. Next the author introduces Grassmann manifolds in the study of the k-plane transform (a version of the Radon transform) which integrates over k-dimensional planes rather than hyperplanes. The remaining chapters are concerned with more advanced topics.

Recenzje

'I recommend this book for everybody interested in Radon transform or tomography. This book is great to get acquainted, get involved and start research but also good for researchers of any kind of Radon tranform.' Acta Scientiarum Mathematicarum

Spis treści

1. Computerized tomography, X-rays, and the Radon transform; 2. The Radon transform; 3. The k Plane transform, the Radon- John transform; 4. Range and differential equations; 5. Generalizations and variants of the Radon transform.