The Radon Transform: The First 100 Years and Beyond

✍ Scribed by Ronny Ramlau (editor); Otmar Scherzer (editor)

• Publisher: De Gruyter
• Year: 2019
• Tongue: English
• Leaves: 348
• Series: Radon Series on Computational and Applied Mathematics; 22
• Category: Library

✦ Synopsis

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.

✦ Table of Contents

Contents
100 years of Mathematical Tomography
1. Johann Radon 1887–1956
2. On blind imaging, NMF and PET
3. From Radon to Leray
4. Integral geometry on manifolds with boundary and applications
5. Non-Abelian Radon transform and its applications
6. Remarks on the second century of the Funk–Radon theory
7. V-line and conical Radon transforms with applications in imaging
8. Uncertainty, ghosts, and resolution in Radon problems
9. The importance of the Radon transform in vector field tomography
10. Iterative reconstruction techniques and their superiorization for the inversion of the Radon transform
11. Quantitative photoacoustic tomography in Bayesian framework
12. Inverse Born series
13. On the reconstruction of static and dynamic discrete structures