On the local minima in a tomographic imaging technique
Isernia, T.
Pascazio, V.
Pierri, R.
Dipartimento di Ingegneria Elettronica, Naples Univ.;
This paper appears in: Geoscience and Remote Sensing, IEEE Transactions on
Publication Date: Jul 2001
Volume: 39,
Issue: 7
On page(s): 1596-1607
ISSN: 0196-2892
References Cited: 28
CODEN: IGRSD2
INSPEC Accession Number: 7002020
Digital Object Identifier: 10.1109/36.934091
Current Version Published: 2002-08-07
Abstract
The reliability of a recently introduced nonlinear estimation
method for tomographic imaging is discussed in full detail. It is shown
how a proper choice of the functional spaces to which unknown quantities
belong and the exploitation of the expected properties of the object
under test and of all the available a priori information positively
affect robustness against false solutions of the inversion procedure.
The developed arguments allow the authors to understand causes of
possible false solutions, suggesting possible countermeasures. In
particular, it is shown how the proposed approach allows the authors to
achieve accurate and reliable reconstructions in a set of cases larger
than the range of applicability of other “false solutions
free” approaches. Numerical analyses confirm the validity of the
approach and the effectiveness of developed inversion procedures through
practical examples
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