ENGLISH

Mathematical Foundations of Imaging, Tomography and Wavefield Inversion

By Anthony J. Devaney

Book information

Publisher
Cambridge University Press
Year
2012
ISBN
052111974X, 978-0-521-11974-0
Language
english
Format
PDF
Filesize
11 MB (11926895 bytes)
Pages
536\538
Time added
2014-02-12 18:00:00
Информатика и вычислительная техника;Обработка мед

Description

Inverse problems are of interest and importance across many branches of physics, mathematics, engineering and medical imaging. In this text, the foundations of imaging and wavefield inversion are presented in a clear and systematic way. The necessary theory is gradually developed throughout the book, progressing from simple wave equation based models to vector wave models. By combining theory with numerous MATLAB based examples, the author promotes a complete understanding of the material and establishes a basis for real world applications. Key topics of discussion include the derivation of solutions to the inhomogeneous and homogeneous Helmholtz equations using Green function techniques the propagation and scattering of waves in homogeneous and inhomogeneous backgrounds and the concept of field time reversal. Bridging the gap between mathematics and physics, this multidisciplinary book will appeal to graduate students and researchers alike.

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