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PIER PIER B PIER C PIER M PIER Letters
2016-11-13
Two FFT Subspace-Based Optimization Methods for Electrical Impedance Tomography
By
Zhun Wei,

    Prof. Zhun Wei

    College of Information Science and Electronic Engineering

    Zhejiang University

    China

    Homepage

Rui Chen,

    Dr. Rui Chen

    Department of Electrical and Computer Engineering

    National University of Singapore

    Singapore

    Homepage

Hongkai Zhao,

    Prof. Hongkai Zhao

    Department of Mathematics

    University of California

    USA

    Homepage

Xudong Chen

    Professor Xudong Chen

    Dept. of Electrical & Computer Engineering

    National University of Singapore

    Singapore, 117576

    Homepage

Progress In Electromagnetics Research, Vol. 157, 111-120, 2016
doi:10.2528/PIER16082302
Abstract
Two numerical methods are proposed to solve the electric impedance tomography (EIT) problem in a domain with arbitrary boundary shape. The rst is the new fast Fourier transform subspace-based optimization method (NFFT-SOM). Instead of implementing optimization within the subspace spanned by smaller singular vectors in subspace-based optimization method (SOM), a space spanned by complete Fourier bases is used in the proposed NFFT-SOM. We discuss the advantages and disadvantages of the proposed method through numerical simulations and comparisons with traditional SOM. The second is the low frequency subspace optimized method (LF-SOM), in which we replace the deterministic current and noise subspace in SOM with low frequency current and space spanned by discrete Fourier bases, respectively. We give a detailed analysis of strengths and weaknesses of LF-SOM through comparisons with mentioned SOM and NFFT-SOM in solving EIT problem in a domain with arbitrary boundary shape.
Citation
Zhun Wei, Rui Chen, Hongkai Zhao, and Xudong Chen, "Two FFT Subspace-Based Optimization Methods for Electrical Impedance Tomography," Progress In Electromagnetics Research, Vol. 157, 111-120, 2016.
doi:10.2528/PIER16082302
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