Cargando…
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...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Berlin, Heidelberg :
Springer Berlin Heidelberg : Imprint: Springer,
2007.
|
| Edición: | 1st ed. 2007. |
| Colección: | Lecture Notes in Mathematics,
1906 |
| Temas: | |
| Acceso en línea: | Texto Completo |
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.