Statistical and Computational Inverse Problems by Jari KaipioStatistical and Computational Inverse Problems by Jari Kaipio

Statistical and Computational Inverse Problems

byJari Kaipio, E. Somersalo

Paperback | November 29, 2010

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This book covers the statistical mechanics approach to computational solution of inverse problems, an innovative area of current research with very promising numerical results. The techniques are applied to a number of real world applications such as limited angle tomography, image deblurring, electical impedance tomography, and biomagnetic inverse problems. Contains detailed examples throughout and includes a chapter on case studies where such methods have been implemented in biomedical engineering.
Title:Statistical and Computational Inverse ProblemsFormat:PaperbackDimensions:360 pages, 9.25 × 6.1 × 0.01 inPublished:November 29, 2010Publisher:Springer New YorkLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:1441919643

ISBN - 13:9781441919649

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Table of Contents

Inverse Problems and Interpretations of Measurements.- Classical Regularization Methods.- Statistical Inversion Theory.- Nonstationary Inverse Problems.- Classical Methods Revisited.- Model Problems.- Case Studies.

Editorial Reviews

From the reviews:"The book is devoted to the development of the statistical approach to inverse problems . . The content is written clearly and without citations in the main text. Every chapter has a section called 'Notes and comments' where the citations and further reading, as well as brief comments on more advanced topics, are provided. The book is aimed at postgraduate students . . The book also will be of interest for many researchers and scientists working in the area of image processing." (Tzvetan Semerdjiev, Zentralblatt MATH, Vol. 1068, 2005)"Inverse problems are usually ill-posed in the sense that a solution need not exist, need not be unique, and depends in a discontinuous way on the data . . there have been two quite separate communities dealing with such problems, one basing their methods mainly on functional analysis, the other one on statistics. . several attempts have been made to bridge the gap between these two groups. The book under review . is a further, quite successful attempt in this direction." (Heinz W. Engel, SIAM Review, Vol. 48 (1), 2006)