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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 |
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| 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 |
| Sumario: | 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 overlaps with convex geometry and employs many tools from that area, including some formulas from integral geometry. It also has connections to discrete tomography, geometric probing in robotics and to stereology. This comprehensive study provides a rigorous treatment of the subject. Although primarily meant for researchers and graduate students in geometry and tomography, brief introductions, suitable for advanced undergraduates, are provided to the basic concepts. More than 70 illustrations are used to clarify the text. The book also presents 66 unsolved problems. Each chapter ends with extensive notes, historical remarks, and some biographies. This edition includes numerous updates and improvements, with some 300 new references bringing the total to over 800. |
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| Descripción Física: | 1 online resource (xxi, 492 pages) : illustrations |
| Bibliografía: | Includes bibliographical references (pages 437-469) and indexes. |
| ISBN: | 9781461938323 1461938325 9781107341029 1107341027 9781107387560 1107387566 9781139883368 1139883364 0521866804 9780521866804 0521684935 9780521684934 |