The Radon Transform : : The First 100 Years and Beyond / / ed. by Ronny Ramlau, Otmar Scherzer.

• Superior document: Title is part of eBook package: De Gruyter DG Plus DeG Package 2019 Part 1
• MitwirkendeR: Alpers, Andreas,; Ambartsoumian, Gaik,; De Mol, Christine,; Defrise, Michel,; Gindikin, Simon,; Gritzmann, Peter,; Herman, G. T.,; Ilmavirta, Joonas,; Louis, Alfred K.,; Monard, François,; Moskow, Shari,; Novikov, R. G.,; Palamodov, Victor,; Ramlau, Ronny,; Scherzer, Otmar,; Schotland, John C.,; Schuster, T.,; Sigmund, Karl,; Tarvainen, Tanja,
• HerausgeberIn: Ramlau, Ronny,; Scherzer, Otmar,
• Place / Publishing House: Berlin ;, Boston : : De Gruyter, , [2019]; ©2019
• Year of Publication: 2019
• Language: English
• Series: Radon Series on Computational and Applied Mathematics , 22
• Physical Description: 1 online resource (VI, 341 p.)

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 ma...

Table of Contents

• Frontmatter
• 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