Statistical and computational inverse problems

書誌事項

Statistical and computational inverse problems

Jari Kaipio, Erkki Somersalo

(Applied mathematical sciences, v. 160)

Springer, c2005

  • : pbk.

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注記

Includes bibliographical references (p. [329]-335) and index

With 102 figures

内容説明・目次

内容説明

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.

目次

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

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