Analytic Tomography (encyclopedia Of Mathematics And Its Applications)
by Andrew Markoe /
2006 / English / PDF
12.5 MB Download
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.
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.
