Three-Dimensional Microwave Imaging: Fast and Accurate Computations with Block Resolution Algorithms release_xmqwyx6bqnfafhkw2wuszlhnfy

by Corentin Friedrich, Sébastien Bourguignon, Jérôme Idier, Yves Goussard

Published in Sensors by MDPI AG.

2020   Volume 20, Issue 21, p6282

Abstract

This paper considers the microwave imaging reconstruction problem, based on additive penalization and gradient-based optimization. Each evaluation of the cost function and of its gradient requires the resolution of as many high-dimensional linear systems as the number of incident fields, which represents a large amount of computations. Since all such systems involve the same matrix, we propose a block inversion strategy, based on the block-biconjugate gradient stabilized (BiCGStab) algorithm, with efficient implementations specific to the microwave imaging context. Numerical experiments performed on synthetic data and on real measurements show that savings in computing time can reach a factor of two compared to the standard, sequential, BiCGStab implementation. Improvements brought by the block approach are even more important for the most difficult reconstruction problems, that is, with high-frequency illuminations and/or highly contrasted objects. The proposed reconstruction strategy is shown to achieve satisfactory estimates for objects of the Fresnel database, even on the most contrasted ones.
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Type  article-journal
Stage   published
Date   2020-11-04
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DOI  10.3390/s20216282
PubMed  33158198
PMC  PMC7663225
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