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...
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| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
2006
|
| Edition: | Second edition |
| Series: | Encyclopedia of mathematics and its applications
volume 58 |
| Subjects: | |
| Online Access: | BSB01 FHN01 Volltext |
| Summary: | 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 |
| Item Description: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Physical Description: | 1 online resource (xxi, 492 pages) |
| ISBN: | 9781107341029 |
| DOI: | 10.1017/CBO9781107341029 |
Staff View
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| author | Gardner, Richard J. 1949- |
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| dewey-full | 516.3/62 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516.3/62 |
| dewey-search | 516.3/62 |
| dewey-sort | 3516.3 262 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9781107341029 |
| edition | Second edition |
| format | Electronic eBook |
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| indexdate | 2024-07-10T07:39:16Z |
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| isbn | 9781107341029 |
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| spelling | Gardner, Richard J. 1949- Verfasser (DE-588)1032386029 aut Geometric tomography Richard J. Gardner Second edition Cambridge Cambridge University Press 2006 1 online resource (xxi, 492 pages) txt rdacontent c rdamedia cr rdacarrier Encyclopedia of mathematics and its applications volume 58 Title from publisher's bibliographic system (viewed on 05 Oct 2015) 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 Geometric tomography Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf Computertomografie (DE-588)4113240-3 gnd rswk-swf Geometrie (DE-588)4020236-7 gnd rswk-swf Integralgeometrie (DE-588)4161911-0 gnd rswk-swf Tomografie (DE-588)4078351-0 gnd rswk-swf Konvexe Geometrie (DE-588)4407260-0 gnd rswk-swf 1\p (DE-588)4056995-0 Statistik gnd-content Geometrie (DE-588)4020236-7 s Tomografie (DE-588)4078351-0 s Mathematisches Modell (DE-588)4114528-8 s 2\p DE-604 Integralgeometrie (DE-588)4161911-0 s Computertomografie (DE-588)4113240-3 s 3\p DE-604 Konvexe Geometrie (DE-588)4407260-0 s 4\p DE-604 5\p DE-604 Erscheint auch als Druckausgabe 978-0-521-68493-4 Erscheint auch als Druckausgabe 978-0-521-86680-4 https://doi.org/10.1017/CBO9781107341029 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 5\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Gardner, Richard J. 1949- Geometric tomography Geometric tomography Mathematisches Modell (DE-588)4114528-8 gnd Computertomografie (DE-588)4113240-3 gnd Geometrie (DE-588)4020236-7 gnd Integralgeometrie (DE-588)4161911-0 gnd Tomografie (DE-588)4078351-0 gnd Konvexe Geometrie (DE-588)4407260-0 gnd |
| subject_GND | (DE-588)4114528-8 (DE-588)4113240-3 (DE-588)4020236-7 (DE-588)4161911-0 (DE-588)4078351-0 (DE-588)4407260-0 (DE-588)4056995-0 |
| 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 |
| topic | Geometric tomography Mathematisches Modell (DE-588)4114528-8 gnd Computertomografie (DE-588)4113240-3 gnd Geometrie (DE-588)4020236-7 gnd Integralgeometrie (DE-588)4161911-0 gnd Tomografie (DE-588)4078351-0 gnd Konvexe Geometrie (DE-588)4407260-0 gnd |
| topic_facet | Geometric tomography Mathematisches Modell Computertomografie Geometrie Integralgeometrie Tomografie Konvexe Geometrie Statistik |
| url | https://doi.org/10.1017/CBO9781107341029 |
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