The Radon Transform : : The First 100 Years and Beyond /

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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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
Online Access:
Physical Description:1 online resource (VI, 341 p.)
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spelling 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
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author2 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
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Inverse Born series -- </subfield><subfield code="t">13. On the reconstruction of static and dynamic discrete structures</subfield></datafield><datafield tag="506" ind1="0" ind2=" "><subfield code="a">restricted access</subfield><subfield code="u">http://purl.org/coar/access_right/c_16ec</subfield><subfield code="f">online access with authorization</subfield><subfield code="2">star</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">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.</subfield></datafield><datafield tag="530" ind1=" " ind2=" "><subfield code="a">Issued also in print.</subfield></datafield><datafield tag="538" ind1=" " ind2=" "><subfield code="a">Mode of access: Internet via World Wide Web.</subfield></datafield><datafield tag="546" ind1=" " ind2=" "><subfield code="a">In English.</subfield></datafield><datafield tag="588" ind1="0" ind2=" "><subfield code="a">Description based on online resource; title from PDF title page (publisher's Web site, viewed 28. Feb 2023)</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Integral equations.</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Integral transforms.</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Radon transforms.</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Transformations (Mathematics).</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Inverses Problem.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Radon-Transformation.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Tomografie.</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">MATHEMATICS / Applied.</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Alpers, Andreas, </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Ambartsoumian, Gaik, </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">De Mol, Christine, </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Defrise, Michel, </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Gindikin, Simon, </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Gritzmann, Peter, </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Herman, G. T., </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Ilmavirta, Joonas, </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Louis, Alfred K., </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Monard, François, </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Moskow, Shari, </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Novikov, R. G., </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Palamodov, Victor, </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Ramlau, Ronny, </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Ramlau, Ronny, </subfield><subfield code="e">editor.</subfield><subfield code="4">edt</subfield><subfield code="4">http://id.loc.gov/vocabulary/relators/edt</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Scherzer, Otmar, </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Scherzer, Otmar, </subfield><subfield code="e">editor.</subfield><subfield code="4">edt</subfield><subfield code="4">http://id.loc.gov/vocabulary/relators/edt</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Schotland, John C., </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Schuster, T., </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Sigmund, Karl, </subfield><subfield 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