Chapter 8. Concepts in Discrete Inverse Problems

  1. J. Carlos Santamarina1 and
  2. Dante Fratta2

Published Online: 20 JUN 2006

DOI: 10.1002/0470021896.ch8

Discrete Signals and Inverse Problems: An Introduction for Engineers and Scientists

Discrete Signals and Inverse Problems: An Introduction for Engineers and Scientists

How to Cite

Santamarina, J. C. and Fratta, D. (2005) Concepts in Discrete Inverse Problems, in Discrete Signals and Inverse Problems: An Introduction for Engineers and Scientists, John Wiley & Sons, Ltd, Chichester, UK. doi: 10.1002/0470021896.ch8

Author Information

  1. 1

    Georgia Institute of Technology, USA

  2. 2

    University of Wisconsin-Madison, USA

Publication History

  1. Published Online: 20 JUN 2006
  2. Published Print: 1 JUL 2005

ISBN Information

Print ISBN: 9780470021873

Online ISBN: 9780470021897

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Keywords:

  • discrete inverse problem concept;
  • inverse problems – discrete formulation;
  • travel time tomographic imaging;
  • nonlinear problem linearization;
  • data-driven solution – error norms;
  • model selection – Ockham's razor;
  • data and model errors;
  • nonconvex error surfaces

Summary

This chapter contains sections titled:

  • Inverse Problems – Discrete Formulation

  • Linearization of Nonlinear Problems

  • Data-Driven Solution – Error Norms

  • Model Selection – Ockham's Razor

  • Information

  • Data and Model Errors

  • Nonconvex Error Surfaces

  • Discussion on Inverse Problems

  • Summary

  • Further Reading and References

  • Solved Problems

  • Additional Problems