Title | ||
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Multiplicative-Regularized FFT Twofold Subspace-Based Optimization Method for Inverse Scattering Problems |
Abstract | ||
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In this paper, we combine two techniques together, i.e., the fast Fourier transform-twofold subspace-based optimization method (FFT-TSOM) and multiplicative regularization (MR) to solve inverse scattering problems. When applying MR to the objective function in the FFT-TSOM, the new method is referred to as MR-FFT-TSOM. In MR-FFT-TSOM, a new stable and effective strategy of regularization has been proposed. MR-FFT-TSOM inherits not only the advantages of the FFT-TSOM, i.e., lower computational complexity than the TSOM, better stability of the inversion procedure, and better robustness against noise compared with the SOM, but also the edge-preserving ability from the MR. In addition, a more relaxed condition of choosing the number of current bases being used in the optimization can be obtained compared with the FFT-TSOM. Particularly, MR-FFT-TSOM has even better robustness against noise compared with the FFT-TSOM and multiplicative regularized contrast source inversion (MR-CSI). Numerical simulations including both inversion of synthetic data and experimental data from the Fresnel data set validate the efficacy of the proposed algorithm. |
Year | DOI | Venue |
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2015 | 10.1109/TGRS.2014.2329032 | IEEE T. Geoscience and Remote Sensing |
Keywords | DocType | Volume |
optimisation,fast fourier transform,multiplicative-regularized FFT twofold subspace-based optimization method,inverse scattering,mr-csi,inversion procedure,fast Fourier transform,edge-preserving ability,multiplicative regularized contrast source inversion,numerical analysis,fast fourier transforms,inverse problems,multiplicative regularization (MR),computational complexity,multiplicative regularization (mr),multiplicative-regularized fft twofold subspace-based optimization method,optimization,Fast Fourier transform-twofold subspace-based optimization method (FFT-TSOM),inverse transforms,MR-CSI,numerical simulation,mr-fft-tsom,electromagnetic wave scattering,MR-FFT-TSOM,subspace,inverse scattering problem,stability,fast fourier transform-twofold subspace-based optimization method (fft-tsom),fast Fourier transforms | Journal | 53 |
Issue | ISSN | Citations |
2 | 0196-2892 | 0 |
PageRank | References | Authors |
0.34 | 0 | 5 |
Name | Order | Citations | PageRank |
---|---|---|---|
Kuiwen Xu | 1 | 2 | 7.49 |
Yu Zhong | 2 | 1 | 2.05 |
Rencheng Song | 3 | 15 | 6.03 |
Xudong Chen | 4 | 90 | 21.40 |
Lixin Ran | 5 | 56 | 13.20 |