Analytic tomography

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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.

Author(s): Andrew Markoe
Series: Encyclopedia of mathematics and its applications 106
Publisher: Cambridge University Press
Year: 2006

Language: English
Pages: 408
City: Cambridge; New York
Tags: Информатика и вычислительная техника;Обработка медиа-данных;Обработка изображений;