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The method of approximate inverse : theory and applications
| Autor principal: | |
|---|---|
| Formato: | Libro |
| Lenguaje: | English |
| Publicado: |
Berlin ; New York :
Springer,
2007.
|
| Colección: | Lecture notes in mathematics (Springer-Verlag) ;
1906. |
| Materias: |
Tabla de Contenidos:
- pt. I. Inverse and semi-discrete problems
- Ill-posed problems and regularization methods
- Approximate inverse L{esc}p2{esc}s-spaces
- Approximate inverse in Hilbert spaces
- Approximate inverse in distribution spaces
- Conclusion and perspectives-- pt. II 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
- pt. III Application to the spherical mean operator
- Design a mollifier
- Computation of reconstruction kernels
- Numerical experiments
- Conclusion and perspectives
- pt. IV. Further applications
- Approximate inverse and X-ray diffractometry
- A filtered back projection algorithm for thermoacoustic computerized tomography (TCT)
- Computation of reconstruction of reconstruction kernels in 3D computerized tomography
- Conclusion and perspectives.