The Method of Approximate Inverse : Theory and Applications
Inverse problems arise whenever one tries to calculate a required quantity from given measurements of a second quantity that is associated to the first one. Besides medical imaging and non-destructive testing, inverse problems also play an increasing role in other disciplines such as industrial and...
Bewaard in:
| Hoofdauteur: | |
|---|---|
| Formaat: | Livre numérique |
| Taal: | Anglais |
| Gepubliceerd in: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Editie: | 1st ed. 2007. |
| Reeks: | Lecture Notes in Mathematics
1906 |
| Onderwerpen: | |
| Online toegang: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Opmerking: |
L'impression du document génère 185 p. Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • The method of approximate inverse, theory and applications, Thomas Schuster, 2007, Berlin, Springer, 1 volume (XIII-198 pages), Lecture notes in mathematics, 3-540-71226-7 |
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| 100 | 1 | |a Schuster, Thomas, |d 1971- | |
| 245 | 1 | 0 | |a The Method of Approximate Inverse : |b Theory and Applications |c Thomas Schuster. |
| 250 | |a 1st ed. 2007. | ||
| 260 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 1 | |a Lecture Notes in Mathematics |v 1906 |x 1617-9692 | |
| 500 | |a L'impression du document génère 185 p. | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliogr. Index | ||
| 505 | 1 | |a Inverse and Semi-discrete Problems Ill-posed problems and regularization methods Approximate inverse in L 2-spaces Approximate inverse in Hilbert spaces Approximate inverse in distribution spaces Conclusion and perspectives Application to 3D Doppler Tomography A semi-discrete setup for Doppler tomography Solving the semi-discrete problem Convergence and stability Approaches for defect correction Conclusion and perspectives Application to the spherical mean operator The spherical mean operator Design of a mollifier Computation of reconstruction kernels Numerical experiments Conclusion and perspectives Further Applications Approximate inverse and X-ray diffractometry A filtered backprojection algorithm Computation of reconstruction kernels in 3D computerized tomography Conclusion and perspectives | |
| 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 Inverse problems arise whenever one tries to calculate a required quantity from given measurements of a second quantity that is associated to the first one. Besides medical imaging and non-destructive testing, inverse problems also play an increasing role in other disciplines such as industrial and financial mathematics. Hence, there is a need for stable and efficient solvers. The book is concerned with the method of approximate inverse which is a regularization technique for stably solving inverse problems in various settings such as L2-spaces, Hilbert spaces or spaces of distributions. The performance and functionality of the method is demonstrated on several examples from medical imaging and non-destructive testing such as computerized tomography, Doppler tomography, SONAR, X-ray diffractometry and thermoacoustic computerized tomography. The book addresses graduate students and researchers interested in the numerical analysis of inverse problems and regularization techniques or in efficient solvers for the applications mentioned above | ||
| 650 | |a Tomographie | ||
| 650 | |a Problèmes inverses (équations différentielles) | ||
| 650 | |a Équations aux dérivées partielles | ||
| 650 | |a Équations intégrales | ||
| 650 | |a Analyse numérique | ||
| 650 | |a Mathématiques | ||
| 776 | 0 | |0 114737681 |t The method of approximate inverse |o theory and applications |f Thomas Schuster |d 2007 |c Berlin |n Springer |p 1 volume (XIII-198 pages) |s Lecture notes in mathematics |z 3-540-71226-7 | |
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