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Geometric tomography /
Geometric tomography deals with the retrieval of information about a geometric object from data concerning its projections (shadows) on planes or cross-sections by planes. It is a geometric relative of computerized tomography, which reconstructs an image from X-rays of a human patient. The subject o...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge ; New York :
Cambridge University Press,
2006.
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| Edición: | 2nd ed. |
| Colección: | Encyclopedia of mathematics and its applications ;
v. 58. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- 0. Background material
- 1. Parallel x-rays of planar convex bodies
- 2. Parallel x-rays in n dimensions
- 3. Projections and projection functions
- 4. Projection bodies and volume inequalities
- 5. Point x-rays
- 6. Chord functions and equichordal problems
- 7. Sections, section functions, and point x-rays
- 8. Intersection bodies and volume inequalities
- 9. Estimates from projection and section functions
- App. A. Mixed volumes and dual mixed volumes
- App. B. Inequalities
- App. C. Integral transforms.