Analytic Tomography (Encyclopedia of Mathematics and its Applications)

Andrew Markoe, "Analytic Tomography (Encyclopedia of Mathematics and its Applications)"
Cambridge University Press | 2006 | ISBN: 0521793475 | 408 pages | File type: PDF | 12,1 mb
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.


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