The Radon Transform : : The First 100 Years and Beyond / / ed. by Ronny Ramlau, Otmar Scherzer.
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...
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Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2019] ©2019 |
Year of Publication: | 2019 |
Language: | English |
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The Radon Transform : The First 100 Years and Beyond / ed. by Ronny Ramlau, Otmar Scherzer. Berlin ; Boston : De Gruyter, [2019] ©2019 1 online resource (VI, 341 p.) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Radon Series on Computational and Applied Mathematics , 1865-3707 ; 22 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 restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star 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. Issued also in print. Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 28. Feb 2023) Integral equations. Integral transforms. Radon transforms. Transformations (Mathematics). Inverses Problem. Radon-Transformation. Tomografie. MATHEMATICS / Applied. bisacsh Alpers, Andreas, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Ambartsoumian, Gaik, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb De Mol, Christine, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Defrise, Michel, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Gindikin, Simon, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Gritzmann, Peter, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Herman, G. T., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Ilmavirta, Joonas, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Louis, Alfred K., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Monard, François, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Moskow, Shari, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Novikov, R. G., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Palamodov, Victor, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Ramlau, Ronny, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Ramlau, Ronny, editor. edt http://id.loc.gov/vocabulary/relators/edt Scherzer, Otmar, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Scherzer, Otmar, editor. edt http://id.loc.gov/vocabulary/relators/edt Schotland, John C., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Schuster, T., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Sigmund, Karl, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Tarvainen, Tanja, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Title is part of eBook package: De Gruyter DG Plus DeG Package 2019 Part 1 9783110762464 Title is part of eBook package: De Gruyter DG Plus eBook-Package 2019 9783110719567 Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE DG 2019 English 9783110616859 Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2019 English 9783110610765 Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2019 9783110664232 ZDB-23-DGG Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2019 English 9783110610406 Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2019 9783110606362 ZDB-23-DMA Title is part of eBook package: De Gruyter Radon Series on Applied Mathematics eBook-Package 9783110647174 EPUB 9783110559514 print 9783110559415 https://doi.org/10.1515/9783110560855 https://www.degruyter.com/isbn/9783110560855 Cover https://www.degruyter.com/document/cover/isbn/9783110560855/original |
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English |
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Alpers, Andreas, Alpers, Andreas, Ambartsoumian, Gaik, Ambartsoumian, Gaik, De Mol, Christine, De Mol, Christine, Defrise, Michel, Defrise, Michel, Gindikin, Simon, Gindikin, Simon, Gritzmann, Peter, Gritzmann, Peter, Herman, G. T., Herman, G. T., Ilmavirta, Joonas, Ilmavirta, Joonas, Louis, Alfred K., Louis, Alfred K., Monard, François, Monard, François, Moskow, Shari, Moskow, Shari, Novikov, R. G., Novikov, R. G., Palamodov, Victor, Palamodov, Victor, Ramlau, Ronny, Ramlau, Ronny, Ramlau, Ronny, Ramlau, Ronny, Scherzer, Otmar, Scherzer, Otmar, Scherzer, Otmar, Scherzer, Otmar, Schotland, John C., Schotland, John C., Schuster, T., Schuster, T., Sigmund, Karl, Sigmund, Karl, Tarvainen, Tanja, Tarvainen, Tanja, |
author_facet |
Alpers, Andreas, Alpers, Andreas, Ambartsoumian, Gaik, Ambartsoumian, Gaik, De Mol, Christine, De Mol, Christine, Defrise, Michel, Defrise, Michel, Gindikin, Simon, Gindikin, Simon, Gritzmann, Peter, Gritzmann, Peter, Herman, G. T., Herman, G. T., Ilmavirta, Joonas, Ilmavirta, Joonas, Louis, Alfred K., Louis, Alfred K., Monard, François, Monard, François, Moskow, Shari, Moskow, Shari, Novikov, R. G., Novikov, R. G., Palamodov, Victor, Palamodov, Victor, Ramlau, Ronny, Ramlau, Ronny, Ramlau, Ronny, Ramlau, Ronny, Scherzer, Otmar, Scherzer, Otmar, Scherzer, Otmar, Scherzer, Otmar, Schotland, John C., Schotland, John C., Schuster, T., Schuster, T., Sigmund, Karl, Sigmund, Karl, Tarvainen, Tanja, Tarvainen, Tanja, |
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author_sort |
Alpers, Andreas, |
title |
The Radon Transform : The First 100 Years and Beyond / |
spellingShingle |
The Radon Transform : The First 100 Years and Beyond / Radon Series on Computational and Applied Mathematics , 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 |
title_sub |
The First 100 Years and Beyond / |
title_full |
The Radon Transform : The First 100 Years and Beyond / ed. by Ronny Ramlau, Otmar Scherzer. |
title_fullStr |
The Radon Transform : The First 100 Years and Beyond / ed. by Ronny Ramlau, Otmar Scherzer. |
title_full_unstemmed |
The Radon Transform : The First 100 Years and Beyond / ed. by Ronny Ramlau, Otmar Scherzer. |
title_auth |
The Radon Transform : The First 100 Years and Beyond / |
title_alt |
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 |
title_new |
The Radon Transform : |
title_sort |
the radon transform : the first 100 years and beyond / |
series |
Radon Series on Computational and Applied Mathematics , |
series2 |
Radon Series on Computational and Applied Mathematics , |
publisher |
De Gruyter, |
publishDate |
2019 |
physical |
1 online resource (VI, 341 p.) Issued also in print. |
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 |
isbn |
9783110560855 9783110762464 9783110719567 9783110616859 9783110610765 9783110664232 9783110610406 9783110606362 9783110647174 9783110559514 9783110559415 |
issn |
1865-3707 ; |
callnumber-first |
Q - Science |
callnumber-subject |
QA - Mathematics |
callnumber-label |
QA649 |
callnumber-sort |
QA 3649 R33 42019EB |
url |
https://doi.org/10.1515/9783110560855 https://www.degruyter.com/isbn/9783110560855 https://www.degruyter.com/document/cover/isbn/9783110560855/original |
illustrated |
Not Illustrated |
dewey-hundreds |
500 - Science |
dewey-tens |
510 - Mathematics |
dewey-ones |
516 - Geometry |
dewey-full |
516.36 |
dewey-sort |
3516.36 |
dewey-raw |
516.36 |
dewey-search |
516.36 |
doi_str_mv |
10.1515/9783110560855 |
oclc_num |
1104703264 |
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The Radon Transform : The First 100 Years and Beyond / |
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