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...
| Otros Autores: | |
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| Formato: | Libro electrónico |
| Idioma: | Inglés |
| Publicado: |
Berlin, Germany ; New York, New York :
Springer
[2007]
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| Edición: | 1st ed. 2007. |
| Colección: | Lecture notes in mathematics (Springer-Verlag) ;
1906. |
| Materias: | |
| Ver en Biblioteca Universitat Ramon Llull: | https://discovery.url.edu/permalink/34CSUC_URL/1im36ta/alma991009460997506719 |
Tabla de Contenidos:
- 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.
