Mathematical Methods in Tomography : Proceedings of a Conference held in Oberwolfach, Germany, 5 11 June, 1990
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 proceeding...
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| Outros Autores: | , , |
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| Formato: | Livre numérique |
| Idioma: | Anglais |
| Publicado em: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Colecção: | Lecture notes in mathematics
1497 |
| Assuntos: | |
| Acesso em linha: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Mathematical methods in tomography, proceedings of a conference held in Oberwolfach, 5-11 June 1990, G. Herman, A.K. Louis, F. Natterer, eds, Berlin, Springer-Verlag, 1991, 1 vol. (X-268 p.), Lecture notes in mathematics, 3-540-54970-6 • Mathematical Methods in Tomography, Texte imprimé, 9783662193631 |
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| 009 | PPN155176358 | ||
| 020 | |a 9783540466154 (PDF) | ||
| 041 | 0 | |a eng | |
| 082 | |a 510 | ||
| 245 | 0 | 0 | |a Mathematical Methods in Tomography : |b Proceedings of a Conference held in Oberwolfach, Germany, 5 11 June, 1990 |c Gabor T. Herman, Alfred K. Louis, Frank Natterer (eds). |
| 260 | |a Berlin [etc.] : |b Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in mathematics |v 1497 |x 1617-9692 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a Helgason's support theorem for Radon transforms A new proof and a generalization -- Singular value decompositions for Radon transforms -- Image reconstruction in Hilbert space -- A problem of integral geometry for a family of rays with multiple reflections -- Inversion formulas for the three-dimensional ray transform -- Backscattered photons Are they useful for a surface-near tomography? -- Mathematical framework of cone beam 3D reconstruction via the first derivative of the radon transform -- Diffraction tomography some applications and extension to 3-D ultrasound imaging -- Diffuse tomography: A refined model -- Three dimensional reconstructions in inverse obstacle scattering -- Mathematical questions of a biomagnetic imaging problem -- On variable block algebraic reconstruction techniques -- On Volterra-Lotka differential equations and multiplicative algorithms for monotone complementarity problems -- Constrained regularized least squares problems -- Multiplicative iterative methods in computed tomography -- Remark on the informative content of few measurements -- Theorems for the number of zeros of the projection radial modulators of the 2D exponential radon transform -- Evaluation of reconstruction algorithms -- Radon transform and analog coding -- Determination of the specific density of an aerosol through tomography -- Computed tomography and rockets. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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. | ||
| 650 | |a Analyse numérique | ||
| 650 | |a Tomographie | ||
| 650 | |a Transformations de Radon | ||
| 650 | |a Analyse mathématique | ||
| 650 | |a Actes de congrès | ||
| 700 | 1 | |a Herman, Gabor T., |d 1941- |4 pbd | |
| 700 | 1 | |a Louis, Alfred Karl, |d 1949-...., |c mathématicien. |4 pbd | |
| 700 | 1 | |a Natterer, Frank, |d 1941- |4 pbd | |
| 776 | 0 | |0 022290907 |t Mathematical methods in tomography |o proceedings of a conference held in Oberwolfach, 5-11 June 1990 |f G. Herman, A.K. Louis, F. Natterer, eds |c Berlin |n Springer-Verlag |d 1991 |p 1 vol. (X-268 p.) |s Lecture notes in mathematics |z 3-540-54970-6 | |
| 776 | 0 | |t Mathematical Methods in Tomography |b Texte imprimé |z 9783662193631 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/BFb0084502 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-2HMQGZ42-R |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:750672285 |u https://ezproxy.univ-orleans.fr/login?url=https://doi.org/10.1007/BFb0084502 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:754020975 |u https://ezproxy.insa-cvl.fr/login?qurl=https://doi.org/10.1007/BFb0084502 |z Accès INSA CVL | |
| 997 | |0 969603 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||