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The Resource Mathematical methods in tomography : proceedings of a conference held in Oberwolfach, Germany, 5-11 June 1990, G.T. Herman, A.K. Louis, F. Natterer, eds

Mathematical methods in tomography : proceedings of a conference held in Oberwolfach, Germany, 5-11 June 1990, G.T. Herman, A.K. Louis, F. Natterer, eds

Contributor
Summary
The conference was devoted to the discussion of present and future techniques in medical imaging, including 3D x-ray CT, ultrasound and diffraction tomography, and biomagnetic ima- ging. The mathematical models, their theoretical aspects and the development of algorithms were treated. The proceedings contains surveys on reconstruction in inverse obstacle scat- tering, inversion in 3D, and constrained least squares pro- blems. Research papers include besides the mentioned imaging techniques presentations on image reconstruction in Hilbert spaces, singular value decompositions, 3D cone beam recon- struction, diffuse tomography, regularization of ill-posed problems, evaluation reconstruction algorithms and applica- tions in non-medical fields. Contents: Theoretical Aspects: J. Boman: Helgason' s support theorem for Radon transforms-a newproof and a generalization -P. Maass: Singular value de- compositions for Radon transforms- W.R. Madych: Image recon- struction in Hilbert space -R.G. Mukhometov: A problem of in- tegral geometry for a family of rays with multiple reflec- tions -V.P. Palamodov: Inversion formulas for the three-di- mensional ray transform - Medical Imaging Techniques: V. Friedrich: Backscattered Photons - are they useful for a surface - near tomography - P. Grangeat: Mathematical frame- work of cone beam 3D reconstruction via the first derivative of the Radon transform -P. Grassin, B. Duchene, W. Tabbara: Dif- fraction tomography: some applications and extension to 3D ultrasound imaging -F.A. Gr}nbaum: Diffuse tomography: a re- fined model -R. Kress, A. Zinn: Three dimensional reconstruc- tions in inverse obstacle scattering -A.K. Louis: Mathemati- cal questions of a biomagnetic imaging problem - Inverse Problems and Optimization: Y. Censor: On variable block algebraic reconstruction techniques -P.P. Eggermont: On Volterra-Lotka differential equations and multiplicative algorithms for monotone complementary problems
Language
eng
Work
Publication
Extent
1 online resource (x, 268 pages)
Contents
  • Helgason's support theorem for Radon transforms : a new proof and a generalization / J. Boman -- Singular value decompositions for Radon transforms / P. Maass -- Image reconstruction in Hilbert space / W.R. Madych -- A problem of integral geometry for a family of rays with multiple reflections / R.G. Mukhometov -- Inversion formulas for the three-dimensional ray transform / V.P. Palamadov -- Backscattered photons : are they useful for a surface-near tomography / V. Friedrich -- Mathematical framework of cone beam 3D reconstruction via the first derivative of the Radon transform / P. Grangeat -- Diffraction tomography : some applications and extension to 3D ultrasound imaging / P. Grassin, B. Duchene, W. Tabbara
  • Diffuse tomography : a refined model / F.A. Grünbaum -- Three dimensional reconstructions in inverse obstacle scattering / R. Kress, A. Zinn -- Mathematical questions of a biomagnetic imaging problem / A.K. Louis -- On variable block algebraic reconstruction techniques / Y. Censor -- On Volterra-Lotka differential equations and multiplicative algorithms for monotone complementary problems / P.P.B. Eggermont -- Constrained regularized least squares problems / T. Elfving -- Multiplicative iterative methods in computed tomography / A. de Pierro -- Remark on the informative content of a few measurements / P.C. Sabatier -- Theorems for the number of zeros of the projection radial modulators of the 2D-exponential Radon transform / W.G. Hawkins, N.C. Yang, P.K. Leichner
  • Evaluation of reconstruction algorithms / G.T. Herman, D. Odhner -- Radon transform and analog coding / H. Ogawa, I. Kumazawa -- Determination of the specific density of an aerosol through tomography / L.R. Oudin -- Computed tomography and rockets / E.T. Quinto
Isbn
9783540466154
Instance
Label
Mathematical methods in tomography : proceedings of a conference held in Oberwolfach, Germany, 5-11 June 1990
Title
Mathematical methods in tomography
Title remainder
proceedings of a conference held in Oberwolfach, Germany, 5-11 June 1990
Statement of responsibility
G.T. Herman, A.K. Louis, F. Natterer, eds
Contributor
Subject
Genre
Language
eng
Summary
The conference was devoted to the discussion of present and future techniques in medical imaging, including 3D x-ray CT, ultrasound and diffraction tomography, and biomagnetic ima- ging. The mathematical models, their theoretical aspects and the development of algorithms were treated. The proceedings contains surveys on reconstruction in inverse obstacle scat- tering, inversion in 3D, and constrained least squares pro- blems. Research papers include besides the mentioned imaging techniques presentations on image reconstruction in Hilbert spaces, singular value decompositions, 3D cone beam recon- struction, diffuse tomography, regularization of ill-posed problems, evaluation reconstruction algorithms and applica- tions in non-medical fields. Contents: Theoretical Aspects: J. Boman: Helgason' s support theorem for Radon transforms-a newproof and a generalization -P. Maass: Singular value de- compositions for Radon transforms- W.R. Madych: Image recon- struction in Hilbert space -R.G. Mukhometov: A problem of in- tegral geometry for a family of rays with multiple reflec- tions -V.P. Palamodov: Inversion formulas for the three-di- mensional ray transform - Medical Imaging Techniques: V. Friedrich: Backscattered Photons - are they useful for a surface - near tomography - P. Grangeat: Mathematical frame- work of cone beam 3D reconstruction via the first derivative of the Radon transform -P. Grassin, B. Duchene, W. Tabbara: Dif- fraction tomography: some applications and extension to 3D ultrasound imaging -F.A. Gr}nbaum: Diffuse tomography: a re- fined model -R. Kress, A. Zinn: Three dimensional reconstruc- tions in inverse obstacle scattering -A.K. Louis: Mathemati- cal questions of a biomagnetic imaging problem - Inverse Problems and Optimization: Y. Censor: On variable block algebraic reconstruction techniques -P.P. Eggermont: On Volterra-Lotka differential equations and multiplicative algorithms for monotone complementary problems
Member of
Action
digitized
Cataloging source
SPLNM
Dewey number
  • 510 s
  • 621.36/7
Illustrations
illustrations
Index
no index present
LC call number
  • QA3
  • QA649
LC item number
.L28 no. 1497
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
NLM call number
WN 26.5
NLM item number
M426 1990
http://library.link/vocab/relatedWorkOrContributorDate
  • 1949-
  • 1941-
http://library.link/vocab/relatedWorkOrContributorName
  • Herman, Gabor T
  • Louis, Alfred Karl
  • Natterer, F.
  • Mathematisches Forschungsinstitut Oberwolfach
Series statement
Lecture notes in mathematics,
Series volume
1497
http://library.link/vocab/subjectName
  • Radon transforms
  • Geometric tomography
  • Tomography
  • Mathematics
  • Image Processing, Computer-Assisted
  • Diagnostic Imaging
  • Natural Science Disciplines
  • Computing Methodologies
  • Disciplines and Occupations
  • Diagnostic Techniques and Procedures
  • Information Science
  • Diagnosis
  • Analytical, Diagnostic and Therapeutic Techniques and Equipment
  • Transformations de Radon
  • Geometric tomography
  • Radon transforms
  • Bildgebendes Verfahren
  • Mathematische Methode
  • Inverses Problem
  • Tomografie
  • Radon-Transformierte
  • Oberwolfach <1990>
Label
Mathematical methods in tomography : proceedings of a conference held in Oberwolfach, Germany, 5-11 June 1990, G.T. Herman, A.K. Louis, F. Natterer, eds
Instantiates
Publication
Bibliography note
Includes bibliographical references
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • Helgason's support theorem for Radon transforms : a new proof and a generalization / J. Boman -- Singular value decompositions for Radon transforms / P. Maass -- Image reconstruction in Hilbert space / W.R. Madych -- A problem of integral geometry for a family of rays with multiple reflections / R.G. Mukhometov -- Inversion formulas for the three-dimensional ray transform / V.P. Palamadov -- Backscattered photons : are they useful for a surface-near tomography / V. Friedrich -- Mathematical framework of cone beam 3D reconstruction via the first derivative of the Radon transform / P. Grangeat -- Diffraction tomography : some applications and extension to 3D ultrasound imaging / P. Grassin, B. Duchene, W. Tabbara
  • Diffuse tomography : a refined model / F.A. Grünbaum -- Three dimensional reconstructions in inverse obstacle scattering / R. Kress, A. Zinn -- Mathematical questions of a biomagnetic imaging problem / A.K. Louis -- On variable block algebraic reconstruction techniques / Y. Censor -- On Volterra-Lotka differential equations and multiplicative algorithms for monotone complementary problems / P.P.B. Eggermont -- Constrained regularized least squares problems / T. Elfving -- Multiplicative iterative methods in computed tomography / A. de Pierro -- Remark on the informative content of a few measurements / P.C. Sabatier -- Theorems for the number of zeros of the projection radial modulators of the 2D-exponential Radon transform / W.G. Hawkins, N.C. Yang, P.K. Leichner
  • Evaluation of reconstruction algorithms / G.T. Herman, D. Odhner -- Radon transform and analog coding / H. Ogawa, I. Kumazawa -- Determination of the specific density of an aerosol through tomography / L.R. Oudin -- Computed tomography and rockets / E.T. Quinto
Control code
298686771
Dimensions
unknown
Extent
1 online resource (x, 268 pages)
Form of item
online
Isbn
9783540466154
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
illustrations
Reproduction note
Electronic reproduction.
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)298686771
System details
Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
Label
Mathematical methods in tomography : proceedings of a conference held in Oberwolfach, Germany, 5-11 June 1990, G.T. Herman, A.K. Louis, F. Natterer, eds
Publication
Bibliography note
Includes bibliographical references
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • Helgason's support theorem for Radon transforms : a new proof and a generalization / J. Boman -- Singular value decompositions for Radon transforms / P. Maass -- Image reconstruction in Hilbert space / W.R. Madych -- A problem of integral geometry for a family of rays with multiple reflections / R.G. Mukhometov -- Inversion formulas for the three-dimensional ray transform / V.P. Palamadov -- Backscattered photons : are they useful for a surface-near tomography / V. Friedrich -- Mathematical framework of cone beam 3D reconstruction via the first derivative of the Radon transform / P. Grangeat -- Diffraction tomography : some applications and extension to 3D ultrasound imaging / P. Grassin, B. Duchene, W. Tabbara
  • Diffuse tomography : a refined model / F.A. Grünbaum -- Three dimensional reconstructions in inverse obstacle scattering / R. Kress, A. Zinn -- Mathematical questions of a biomagnetic imaging problem / A.K. Louis -- On variable block algebraic reconstruction techniques / Y. Censor -- On Volterra-Lotka differential equations and multiplicative algorithms for monotone complementary problems / P.P.B. Eggermont -- Constrained regularized least squares problems / T. Elfving -- Multiplicative iterative methods in computed tomography / A. de Pierro -- Remark on the informative content of a few measurements / P.C. Sabatier -- Theorems for the number of zeros of the projection radial modulators of the 2D-exponential Radon transform / W.G. Hawkins, N.C. Yang, P.K. Leichner
  • Evaluation of reconstruction algorithms / G.T. Herman, D. Odhner -- Radon transform and analog coding / H. Ogawa, I. Kumazawa -- Determination of the specific density of an aerosol through tomography / L.R. Oudin -- Computed tomography and rockets / E.T. Quinto
Control code
298686771
Dimensions
unknown
Extent
1 online resource (x, 268 pages)
Form of item
online
Isbn
9783540466154
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
illustrations
Reproduction note
Electronic reproduction.
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)298686771
System details
Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.

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