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...
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2006
|
| Ausgabe: | Second edition. |
| Schriftenreihe: | Encyclopedia of mathematics and its applications
volume 58 |
| Links: | https://doi.org/10.1017/CBO9781107341029 |
| Zusammenfassung: | 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. |
| Umfang: | 1 Online-Ressource (xxi, 492 Seiten) |
| ISBN: | 9781107341029 |
Internformat
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| spelling | Gardner, Richard J. Geometric tomography Richard J. Gardner Second edition. Cambridge Cambridge University Press 2006 1 Online-Ressource (xxi, 492 Seiten) txt c cr Encyclopedia of mathematics and its applications volume 58 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. Erscheint auch als Druck-Ausgabe 9780521684934 Erscheint auch als Druck-Ausgabe 9780521866804 |
| spellingShingle | Gardner, Richard J. Geometric tomography |
| title | Geometric tomography |
| title_auth | Geometric tomography |
| title_exact_search | Geometric tomography |
| title_full | Geometric tomography Richard J. Gardner |
| title_fullStr | Geometric tomography Richard J. Gardner |
| title_full_unstemmed | Geometric tomography Richard J. Gardner |
| title_short | Geometric tomography |
| title_sort | geometric tomography |
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