The Radon Transform
The First 100 Years and Beyond
1st Edition
Published on 17. June 2019
VI, 341 pages
978-3-11-056085-5 (ISBN)
Description
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.
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Book
02/2024
1st Edition
De Gruyter
€179.95
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06/2019
1st Edition
De Gruyter
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Persons
Ronny Ramlau , Johannes Kepler U. Linz and Johann Radon Inst., Austria; Otmar Scherzer , U. of Vienna and Johann Radon Inst., Austria.
Content
- Intro
- 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
