Boundary Modelling in Electrical Impedance Tomography
Electrical Impedance Tomography (EIT) is a technique which attempts to create images of the electrical conductivity distribution of the material in the interior of an object. In many situations the widely differing electrical properties of the various typ
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Springer-Verlag Wien GmbH
Prof. Dr. Heinz W. Engl Institut rur Mathematik, Johannes-Kepler-Vniversităt, Linz, Austria
Prof. Dr. Alfred K. Louis Fachbereich Mathematik, Vniversităt des Saarlandes, Saarbliicken, Federal Republic of Germany
Prof. Dr. William Rundell Department of Mathematics, Texas A & M Vniversity, College Station, Texas, V.S.A.
This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concemed, specifically those of translation, reprinting, re-use of illustrations, broadcasting, reproduction by photocopying machines or similar means, and storage in data banks. © 1997 Springer-Verlag Wien Originally published by Springer-Verlag Wien New York in 1997 Typesetting: Camera ready by authors
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Die Deutsche Bibliothek - CIP-Einheitsaufnahme Inverse problems in medical imaging and nondestructive testing / H. W. Engl ... (ed.). - Wien ; New York: Springer, 1997 ISBN 978-3-211-83015-4 ISBN 978-3-7091-6521-8 (eBook) DOI 10.1007/978-3-7091-6521-8
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ISBN 978-3-211-83015-4
Preface The conference on Inverse Problems in Medical Imaging and Nondestructive Testing was organized by the editors of these proceedings in the Mathematisches Forschungsinstitut Oberwolfach in the Black Forest in Germany from February 04 to 10, 1996. Forty participants from thirteen countries presented their research results which can be grouped into the categories: -
overviews on the state of art in medical imaging and nondestructive testing x-ray computerized tomography in two and three dimensions ultrasound and microwave tomography electrical impedance tomography electron microscopy :flow tomography inverse scattering regularization methods for nonlinear problems wavelets and regularization
The common background of the reseach in these fields is inverse problems. It became again evident that much progress in the underlying mathematical research was directly transformed into new algorithms for solving these real world problems in two areas which, at a first glance, seem to be very different. From a mathematical point of view similar principles are applied to measure the data although the realization can be rather different as an example in x-ray computerized tomography shows. In nondestructive testing typically the measured object is rotated and x-ray source and detectors are fixed, which, of course, is impossible in the medical application. This conference is one of a series of conferences devoted to inverse p~oblems in different fields organized by David Colton, Heinz Engl, Alfred Louis and Bill Rundell. This series is supported by GAMM and SIAM. The lively scientific atmosphere and the inspiring setting in Oberwolfach stimulated many discussions which certainly will contribute to further progress in the field. Although one is tempted to take this invariably high standard in the Mathematische Forschungsinstitut for granted we thank the staff.
Heinz W. E
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