Mathematical Foundations of Imaging, Tomography and Wavefield Inversion

by Anthony J. Devaney

Preview
Subject categories
ISBNs
  • 9780521119740
  • 9781139511858
  • 9781139929752
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. Additional resources including MATLAB codes and solutions are available online at www.cambridge.org/9780521119740.

  • Cambridge University Press; June 2012
  • ISBN: 9781139511858
  • Read online, or download in secure PDF or secure ePub format
  • Title: Mathematical Foundations of Imaging, Tomography and Wavefield Inversion
  • Author: Anthony J. Devaney
  • Imprint: Cambridge University Press
Subject categories
ISBNs
  • 9780521119740
  • 9781139511858
  • 9781139929752

In The Press

'I believe Tony Devaney has produced a masterpiece - a text that will be a standard and a 'classic'. He has struck a perfect balance between the mathematical structures and the physical reality of the wave setting. Devaney's writing is very clear and the reader can hear that his knowledge is not just mathematical or formal, but based on actual experience with systems and signals. This work will stand the test of time in my view and serves the nation.' Richard Albanese, Director of the Mathematics Products Division, Brooks Air Force, San Antonio

Subject categories
ISBNs
  • 9780521119740
  • 9781139511858
  • 9781139929752