Mathematical foundations of imaging, tomography and wavefield inversion

"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 th...

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Bibliographic Details
Main Author Devaney, Anthony J.
Format Electronic eBook
LanguageEnglish
Published Cambridge : Cambridge University Press, 2012.
Subjects
Wave equation.
Inverse problems (Differential equations)
elektronické knihy
electronic books
Online AccessFull text
ISBN9781139518161
113951816X
9781139047838
1139047833
9781139512800
1139512803
9780521119740
052111974X
1139516310
9781139516310
1280773804
9781280773808
Physical Description1 online resource

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Table of Contents:
  • Cover; Mathematical Foundations of Imaging, Tomography and Wavefield Inversion; Title; Copyright; Contents; Preface; 1: Radiation and initial-value problems for the wave equation; 1.1 The radiation problem; 1.1.1 Fourier integral representations; 1.2 Green functions; 1.2.1 Retarded and advanced Green functions; 1.2.2 Frequency-domain Green functions; 1.3 Green-function solutions to the radiation problem; 1.3.1 The primary field solution; 1.3.2 Representation of the radiated field in terms of boundary values via the Kirchhoff-Helmholtz theorem; 1.3.3 The interior field solution.

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