The Mathematics of Computerized Tomography:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | German |
| Veröffentlicht: |
Wiesbaden
Vieweg+Teubner Verlag
1986
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | By computerized tomography (CT) we mean the reconstruction of a function from its line or plane integrals, irrespective of the field where this technique is applied. In the early 1970s CT was introduced in diagnostic radiology and since then, many other applications of CT have become known, so me of them preceding the application in radiology by many years. In this book I have made an attempt to collect so me mathematics which is of possible interest both to the research mathematician who wants to und erstand the theory and algorithms of CT and to the practitioner who wants to apply CT in his special field of interest. I also want to present the state of the art of the mathematical theory of CT as it has developed from 1970 on. It seems that essential parts of the theory are now weIl understood. In the selection of the material I restricted myself - with very few exceptions-to the original problem of CT, even though extensions to other problems of integral geometry, such as reconstruction from integrals over arbitrary manifolds are possible in so me cases. This is because the field is presently developing rapidly and its final shape is not yet visible. Another glaring omission is the statistical side of CT which is very important in practice and which we touch on only occasionally |
| Beschreibung: | 1 Online-Ressource (X, 222 S. 9 Abb. in Farbe) |
| ISBN: | 9783663014096 9783519021032 |
| DOI: | 10.1007/978-3-663-01409-6 |
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| 500 | |a By computerized tomography (CT) we mean the reconstruction of a function from its line or plane integrals, irrespective of the field where this technique is applied. In the early 1970s CT was introduced in diagnostic radiology and since then, many other applications of CT have become known, so me of them preceding the application in radiology by many years. In this book I have made an attempt to collect so me mathematics which is of possible interest both to the research mathematician who wants to und erstand the theory and algorithms of CT and to the practitioner who wants to apply CT in his special field of interest. I also want to present the state of the art of the mathematical theory of CT as it has developed from 1970 on. It seems that essential parts of the theory are now weIl understood. In the selection of the material I restricted myself - with very few exceptions-to the original problem of CT, even though extensions to other problems of integral geometry, such as reconstruction from integrals over arbitrary manifolds are possible in so me cases. This is because the field is presently developing rapidly and its final shape is not yet visible. Another glaring omission is the statistical side of CT which is very important in practice and which we touch on only occasionally | ||
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Datensatz im Suchindex
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| any_adam_object | |
| author | Natterer, F. |
| author_facet | Natterer, F. |
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| author_sort | Natterer, F. |
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| bvnumber | BV042437837 |
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| dewey-search | 620 |
| dewey-sort | 3620 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Technik Technik Informatik |
| doi_str_mv | 10.1007/978-3-663-01409-6 |
| format | Electronic eBook |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:40Z |
| institution | BVB |
| isbn | 9783663014096 9783519021032 |
| language | German |
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| spelling | Natterer, F. Verfasser aut The Mathematics of Computerized Tomography von F. Natterer Wiesbaden Vieweg+Teubner Verlag 1986 1 Online-Ressource (X, 222 S. 9 Abb. in Farbe) txt rdacontent c rdamedia cr rdacarrier By computerized tomography (CT) we mean the reconstruction of a function from its line or plane integrals, irrespective of the field where this technique is applied. In the early 1970s CT was introduced in diagnostic radiology and since then, many other applications of CT have become known, so me of them preceding the application in radiology by many years. In this book I have made an attempt to collect so me mathematics which is of possible interest both to the research mathematician who wants to und erstand the theory and algorithms of CT and to the practitioner who wants to apply CT in his special field of interest. I also want to present the state of the art of the mathematical theory of CT as it has developed from 1970 on. It seems that essential parts of the theory are now weIl understood. In the selection of the material I restricted myself - with very few exceptions-to the original problem of CT, even though extensions to other problems of integral geometry, such as reconstruction from integrals over arbitrary manifolds are possible in so me cases. This is because the field is presently developing rapidly and its final shape is not yet visible. Another glaring omission is the statistical side of CT which is very important in practice and which we touch on only occasionally Engineering Engineering, general Ingenieurwissenschaften Mathematik (DE-588)4037944-9 gnd rswk-swf Datenverarbeitung (DE-588)4011152-0 gnd rswk-swf Tomografie (DE-588)4078351-0 gnd rswk-swf Radon-Transformation (DE-588)4479199-9 gnd rswk-swf Mathematische Methode (DE-588)4155620-3 gnd rswk-swf Bildrekonstruktion (DE-588)4145435-2 gnd rswk-swf Projektion Mathematik (DE-588)4175877-8 gnd rswk-swf Computertomografie (DE-588)4113240-3 gnd rswk-swf Tomografie (DE-588)4078351-0 s Datenverarbeitung (DE-588)4011152-0 s Mathematik (DE-588)4037944-9 s 1\p DE-604 Computertomografie (DE-588)4113240-3 s 2\p DE-604 Mathematische Methode (DE-588)4155620-3 s 3\p DE-604 Radon-Transformation (DE-588)4479199-9 s 4\p DE-604 Projektion Mathematik (DE-588)4175877-8 s Bildrekonstruktion (DE-588)4145435-2 s 5\p DE-604 https://doi.org/10.1007/978-3-663-01409-6 Verlag 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 | Natterer, F. The Mathematics of Computerized Tomography Engineering Engineering, general Ingenieurwissenschaften Mathematik (DE-588)4037944-9 gnd Datenverarbeitung (DE-588)4011152-0 gnd Tomografie (DE-588)4078351-0 gnd Radon-Transformation (DE-588)4479199-9 gnd Mathematische Methode (DE-588)4155620-3 gnd Bildrekonstruktion (DE-588)4145435-2 gnd Projektion Mathematik (DE-588)4175877-8 gnd Computertomografie (DE-588)4113240-3 gnd |
| subject_GND | (DE-588)4037944-9 (DE-588)4011152-0 (DE-588)4078351-0 (DE-588)4479199-9 (DE-588)4155620-3 (DE-588)4145435-2 (DE-588)4175877-8 (DE-588)4113240-3 |
| title | The Mathematics of Computerized Tomography |
| title_auth | The Mathematics of Computerized Tomography |
| title_exact_search | The Mathematics of Computerized Tomography |
| title_full | The Mathematics of Computerized Tomography von F. Natterer |
| title_fullStr | The Mathematics of Computerized Tomography von F. Natterer |
| title_full_unstemmed | The Mathematics of Computerized Tomography von F. Natterer |
| title_short | The Mathematics of Computerized Tomography |
| title_sort | the mathematics of computerized tomography |
| topic | Engineering Engineering, general Ingenieurwissenschaften Mathematik (DE-588)4037944-9 gnd Datenverarbeitung (DE-588)4011152-0 gnd Tomografie (DE-588)4078351-0 gnd Radon-Transformation (DE-588)4479199-9 gnd Mathematische Methode (DE-588)4155620-3 gnd Bildrekonstruktion (DE-588)4145435-2 gnd Projektion Mathematik (DE-588)4175877-8 gnd Computertomografie (DE-588)4113240-3 gnd |
| topic_facet | Engineering Engineering, general Ingenieurwissenschaften Mathematik Datenverarbeitung Tomografie Radon-Transformation Mathematische Methode Bildrekonstruktion Projektion Mathematik Computertomografie |
| url | https://doi.org/10.1007/978-3-663-01409-6 |
| work_keys_str_mv | AT nattererf themathematicsofcomputerizedtomography |