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.

Su questo libro

Informazioni sull?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)

Dalla quarta di copertina

Inverse problems arise whenever one tries to calculate a required quantity from given measurements of a second quantity that is associated to the first one. Besides medical imaging and non-destructive testing, inverse problems also play an increasing role in other disciplines such as industrial and financial mathematics. Hence, there is a need for stable and efficient solvers. The book is concerned with the method of approximate inverse which is a regularization technique for stably solving inverse problems in various settings such as L²-spaces, Hilbert spaces or spaces of distributions. The performance and functionality of the method is demonstrated on several examples from medical imaging and non-destructive testing such as computerized tomography, Doppler tomography, SONAR, X-ray diffractometry and thermoacoustic computerized tomography. The book addresses graduate students and researchers interested in the numerical analysis of inverse problems and regularization techniques or in efficient solvers for the applications mentioned above.

Dettagli dell'edizione

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