The Radon Transform

Published by De Gruyter 2019

The Radon Transform

The First 100 Years and Beyond

Edited by: Ronny Ramlau and Otmar Scherzer

Volume 22 in the series Radon Series on Computational and Applied Mathematics

https://doi.org/10.1515/9783110560855

Overview
Contents

About this book

In 1917, Johann Radon published his fundamental work, where he introduced what is now called the Radon transform. Including important contributions by several experts, this book reports on ground-breaking developments related to the Radon transform throughout these years, and also discusses novel mathematical research topics and applications for the next century.

An overview of the theory and applications of the Radon transform
Includes contributions by world-leading experts
Of interest to a variety of applied mathematicians working in inverse problems, imaging, numerical analysis, etc.

Author information

Ronny Ramlau, Johannes Kepler U. Linz and Johann Radon Inst., Austria; Otmar Scherzer, U. of Vienna and Johann Radon Inst., Austria.

Topics

Frontmatter Publicly Available Download PDF	I
Contents Publicly Available Download PDF	V
100 years of Mathematical Tomography Ronny Ramlau and Otmar Scherzer Requires Authentication Unlicensed Licensed Download PDF	1
1. Johann Radon 1887–1956 Karl Sigmund Requires Authentication Unlicensed Licensed Download PDF	5
2. On blind imaging, NMF and PET Christine De Mol and Michel Defrise Requires Authentication Unlicensed Licensed Download PDF	17
3. From Radon to Leray Simon Gindikin Requires Authentication Unlicensed Licensed Download PDF	29
4. Integral geometry on manifolds with boundary and applications Joonas Ilmavirta and François Monard Requires Authentication Unlicensed Licensed Download PDF	43
5. Non-Abelian Radon transform and its applications R. G. Novikov Requires Authentication Unlicensed Licensed Download PDF	115
6. Remarks on the second century of the Funk–Radon theory Victor Palamodov Requires Authentication Unlicensed Licensed Download PDF	129
7. V-line and conical Radon transforms with applications in imaging Gaik Ambartsoumian Requires Authentication Unlicensed Licensed Download PDF	143
8. Uncertainty, ghosts, and resolution in Radon problems Alfred K. Louis Requires Authentication Unlicensed Licensed Download PDF	169
9. The importance of the Radon transform in vector field tomography T. Schuster Requires Authentication Unlicensed Licensed Download PDF	189
10. Iterative reconstruction techniques and their superiorization for the inversion of the Radon transform G. T. Herman Requires Authentication Unlicensed Licensed Download PDF	217
11. Quantitative photoacoustic tomography in Bayesian framework Tanja Tarvainen Requires Authentication Unlicensed Licensed Download PDF	239
12. Inverse Born series Shari Moskow and John C. Schotland Requires Authentication Unlicensed Licensed Download PDF	273
13. On the reconstruction of static and dynamic discrete structures Andreas Alpers and Peter Gritzmann Requires Authentication Unlicensed Licensed Download PDF	297

(Deutsch)

Language: English
Publisher: De Gruyter
Audience: Reseachers and graduate students in applied mathematics.
Pages
- Front matter: 6
- Main content: 341
Illustrations
- Illustrations: 27
- Coloured Illustrations: 40
- Tables: 20
Keywords: Inverses Problem; Radon-Transformation; Tomografie

eBook

Published: June 17, 2019
ISBN: 9783110560855

Hardcover

Published: June 17, 2019
ISBN: 9783110559415