Six. Quantitative Deterministic Reconstruction Methods

  1. Matteo Pastorino

Published Online: 26 APR 2010

DOI: 10.1002/9780470602492.ch6

Microwave Imaging

Microwave Imaging

How to Cite

Pastorino, M. (2010) Quantitative Deterministic Reconstruction Methods, in Microwave Imaging, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/9780470602492.ch6

Publication History

  1. Published Online: 26 APR 2010
  2. Published Print: 24 MAR 2010

Book Series:

  1. Wiley Series in Microwave and Optical Engineering

Book Series Editors:

  1. Kai Chang

Series Editor Information

  1. Texas A&M University, USA

ISBN Information

Print ISBN: 9780470278000

Online ISBN: 9780470602492

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Keywords:

  • gradient-based techniques;
  • inexact Newton algorithm;
  • inverse scattering problems;
  • quantitative deterministic reconstruction methods;
  • truncated Landweber algorithm

Summary

This chapter is devoted to a description of quantitative deterministic reconstruction methods, that is, to procedures aimed at retrieving the values of the electromagnetic parameters of an investigation region by means of deterministic algorithms. It introduces two different, but essentially equivalent, approaches to the resolution of inverse scattering problems. The first one attempts to directly solve the nonlinear systems of equations relating the unknown dielectric properties to the measured fields; the other one recasts such a problem to the minimization of a suitable functional. The chapter provides a description of some quantitative procedures for the inversion of scattered data. The methods addressed are essentially Newton-like and gradient-based techniques and are described mainly from an operating perspective in order to provide the readers with information for practical insights into their implementations and necessary computational resources. An inexact Newton algorithm for microwave imaging based on the truncated Landweber algorithm is also discussed.

Controlled Vocabulary Terms

electromagnetic wave scattering; gradient methods; image reconstruction; Newton method