Title
Multiplicative-Regularized FFT Twofold Subspace-Based Optimization Method for Inverse Scattering Problems
Abstract
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
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 Xu127.49
Yu Zhong212.05
Rencheng Song3156.03
Xudong Chen49021.40
Lixin Ran55613.20