The Mathematics of Computerized Tomography

F. Natterer

ISBN 10: 351902103X / ISBN 13: 9783519021032

Published by Vieweg+Teubner Verlag, Vieweg+Teubner Verlag, 1986

About this Item

Druck auf Anfrage Neuware - Printed after ordering - 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.

Seller Inventory # 9783519021032

Bibliographic Details

• Title: The Mathematics of Computerized Tomography
• Publisher: Vieweg+Teubner Verlag, Vieweg+Teubner Verlag
• Publication Date: 1986
• Language: German
• ISBN 10: 351902103X
• ISBN 13: 9783519021032
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 229W x 152H x 14D millimeters 229 millimeters width by 152 millimeters height by 14 millimeters depth
• Weight: 354 grams

About this title

Synopsis

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.