Mathematical foundations of imaging, tomography and wavefield inversion /

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"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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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Devaney, Anthony J.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cambridge : Cambridge University Press, 2012.
Temas:
Wave equation.
Inverse problems (Differential equations)
Équations d'onde.
Problèmes inverses (Équations différentielles)
SCIENCE > Optics.
MATHEMATICS > Differential Equations > General.
Wave equation
Wellengleichung
Inverses Problem
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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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