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Applicable Analysis
An International Journal
Volume 96, 2017 - Issue 3
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Original Articles

Two effective post-filtering strategies for improving direct sampling methods

Keji LiuShanghai Key Laboratory of Financial Information Technology, Lab Center, Shanghai University of Finance and Economics, Shanghai, P.R. China.Correspondence[email protected]
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Pages 502-515 | Received 15 Mar 2016, Accepted 16 Jun 2016, Published online: 01 Jul 2016

References

  • Colton D, Kress R. Inverse acoustic and electromagnetic scattering theory. 2nd ed. Berlin: Springer-Verlag; 1998.
  • Liu K, Xu Y, Zou J. A parallel radial bisection algorithm for inverse scattering problems. Inverse Prob. Sci. Eng. 2013;21:197–209.
  • Potthast R. A survey on sampling and probe methods for inverse problems. Inverse Prob. 2006;22:R1–R47.
  • Xu Y, Mawata C, Lin W. Generalized dual space indicator method for underwater imaging. Inverse Prob. 2000;16:1761–1776.
  • Cheney M. The linear sampling method and the MUSIC algorithm. Inverse Prob. 2001;17:591–595.
  • Kirsch A. The MUSIC-algorithm and the factorization method in inverse scattering theory for inhomogeneous media. Inverse Prob. 2002;18:1025–1040.
  • Abubakar A, van den Berg PM. The contrast source inversion method for location and shape reconstructions. Inverse Prob. 2002;18:495–510.
  • Ito K, Jin B, Zou J. A direct sampling method to an inverse medium scattering problem. Inverse Prob. 2012;28:025003 (11pp).
  • Li J, Zou J. A direct sampling method for inverse scattering using far-field data. Inverse Prob. Imag. 2013;7:757–775.
  • Liu K, Zou J. A multilevel sampling algorithm for locating inhomogeneous media. Inverse Prob. 2013;29:095003 (19pp).
  • Liu K, Xu Y, Zou J. Imaging wave-penetrable objects in a finite depth ocean. Appl. Math. Comp. 2014;235:364–376.
  • Chow Y, Ito K, Zou J. A direct sampling method for electrical impedance tomography. Inverse Prob. 2014;30:095003 (23pp).
  • Chow Y, Ito K, Liu K, et al. Direct sampling method for diffusive optical tomography. SIAM J. Sci. Comput. 2015;37:A1658–A1684.

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