Reconstruction of 3-D Microwave Images based on a Block-BiCGStab Algorithm

5th International Workshop on New Computational Methods for Inverse Problems

物理学;计算机科学

Friedrich, Corentin^1,2 ; Bourguignon, Sébastien^1 ; Idier, Jérôme^1 ; Goussard, Yves^2

LUNAM Université, École Centrale de Nantes, IRCCyN UMR CNRS 6597, 1 rue de la Noë, Nantes

44321, France^1

École Polytechnique de Montréal, Dept. of Electrical Engineering, C.P. 6079, Montréal

QC

H3C 3A7, Canada^2

关键词: 3-D microwave imaging;    Bi-CGSTAB;    BiCGStab algorithm;    Gradient based optimization algorithms;    Microwave images;    Reconstruction process;    Right-hand sides;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/657/1/012014/pdf
DOI  :  10.1088/1742-6596/657/1/012014

学科分类：计算机科学（综合）

来源: IOP

【 摘 要 】

In 3-D microwave imaging, gradient-based optimization algorithms usually make use of the so-called stabilized version of the biconjugate gradient iterative method (BiCGStab) in order to solve multiple linear systems. We propose to use a block version of BiCGStab to jointly solve the mutiple right-hand side linear systems. Illuminations are partitioned in subgroups, which makes the method more efficient. The reconstruction process is studied on realistic simulated data and illustrates the efficiency of the method compared to BiCGStab.