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

Corentin Friedrich^1,2, Sébastien Bourguignon¹, Jérôme Idier¹

¹Laboratoire des Sciences du Numérique de Nantes, École Centrale de Nantes, 1 rue de la Noë, 44321 Nantes, France.

Sensors (Basel, Switzerland)

|November 7, 2020

Summary

This summary is machine-generated.

This study introduces a faster microwave imaging reconstruction method using block inversion. The new approach significantly reduces computation time for complex imaging problems.

Keywords:

block system inversion inverse scattering microwave imaging numerical optimization

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Area of Science:

Electromagnetics and Applied Physics
Computational Imaging
Signal Processing

Background:

Microwave imaging reconstruction involves computationally intensive calculations.
Solving multiple high-dimensional linear systems is required for each cost function evaluation.

Purpose of the Study:

To develop a more efficient computational strategy for microwave imaging reconstruction.
To reduce the time complexity of gradient-based optimization algorithms in this field.

Main Methods:

Implementation of a block inversion strategy utilizing the block-biconjugate gradient stabilized (BiCGStab) algorithm.
Development of efficient implementations tailored for the microwave imaging context.
Application of additive penalization and gradient-based optimization.

Main Results:

Achieved computational time savings of up to a factor of two compared to standard sequential BiCGStab.
Demonstrated enhanced performance for challenging reconstruction problems, including high-frequency illuminations and highly contrasted objects.
Obtained satisfactory imaging estimates for objects in the Fresnel database.

Conclusions:

The proposed block inversion strategy offers a significant computational advantage for microwave imaging.
This method is particularly effective for complex and high-contrast imaging scenarios.
The approach provides accurate reconstruction results for challenging objects.