Analytic Tomography

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.

Contains elementary introductions to properties of the Radon transform plus coverage of more advanced topics.

Professor Andrew Markoe is a Professor of Mathematics at Rider University, Lawrenceville, New Jersey. He lives in Lawrenceville, NJ with his wife and the youngest of his three daughters. He graduated with a B.S. in Mathematics from the City College of New York in 1964 and received his Ph.D. in Mathematics from Brown University in
1969. His fields of research include several complex variables, integral geometry and tomography. He is a member of the American Mathematical Society. His hobbies include playing Lacross playing squash and flying.