The Method of Approximate Inverse: Theory and Applications: 1906 - Brossura

Schuster, Thomas

Brossura

ISBN 10: 3540712267 ISBN 13: 9783540712268

Casa editrice: Springer Berlin Heidelberg, 2010

Riassunto

This book is concerned with the method of approximate inverse which is a regularization technique for stably solving inverse problems in various settings. It demonstrates the performance and functionality of the method on several examples from medical imaging and non-destructive testing, such as computerized tomography, Doppler tomography, SONAR, X-ray diffractometry and thermoacoustic computerized tomography.

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Recensione

From the reviews:

"The powerful method of the approximate inverse is a good bunch of regularization techniques, and this monograph presents a comprehensive outline of this method. Application to 3D Doppler tomography and the spherical mean operator is then studied in details, and further results on X-ray diffractometry, thermoacoustic computerized tomography and reconstruction kernels in 3D are attached. The book is naturally recommended for computer tomographers and graduate students heading toward computer tomography, but it contains many beneficial results for researchers of Radon transforms too." (Árpád Kurusa, Acta Scientiarum Mathematicarum, Vol. 74, 2008)

“The book under review which deals with a particular class of regularization methods, the so called method of approximate inverse, is the result of continuous study of the author for more than a decade, by himself for his habilitation thesis and also in collaborations with many experts in the field, including A. K. Louis (his own teacher), A. Rieder and many others. ... No doubt, the book is a good addition to the literature on regularization of ill-posed inverse problems.” (M. Thamban Nair, Zentralblatt MATH, Vol. 1171, 2009)

L'autore

1990 – 1995 Study of Mathematics at Saarland University Saarbrücken (Germany)

1996 – 2004 Scientific assistant at Saarland University Saarbrücken (Germany)

1999 PhD at Saarland University Saarbrücken (Germany)

2002 – 2003 Research stay at Tufts University Medford, MA (USA)

2004 Habilitation at Saarland University Saarbrücken (Germany)

2004 – 2006 Assistant Professor at Saarland University Saarbrücken (Germany)

2007 – today Associate Professor at the Helmut Schmidt University Hamburg (Germany)

Dettagli dell?edizione

• Editore: Springer Berlin Heidelberg
• Data di pubblicazione: 2010
• ISBN 10: 3540712267
• ISBN 13: 9783540712268
• Rilegatura: Copertina flessibile
• Lingua: Inglese
• Numero di pagine: 216