Coherent source imaging and dynamic support tracking for inverse scattering using compressive MUSIC

Okkyun Lee; Jong Min Kim; Jaejoon Yoo; Kyunghwan Jin; Jong Chul Ye

doi:10.1117/12.893457

27 September 2011 Coherent source imaging and dynamic support tracking for inverse scattering using compressive MUSIC

Okkyun Lee, Jong Min Kim, Jaejoon Yoo, Kyunghwan Jin, Jong Chul Ye

Proceedings Volume 8138, Wavelets and Sparsity XIV; 81380G (2011) https://doi.org/10.1117/12.893457
Event: SPIE Optical Engineering + Applications, 2011, San Diego, California, United States

Abstract

The goal of this paper is to develop novel algorithms for inverse scattering problems such as EEG/MEG, microwave imaging, and/or diffuse optical tomograpahy, and etc. One of the main contributions of this paper is a class of novel non-iterative exact nonlinear inverse scattering theory for coherent source imaging and moving targets. Specifically, the new algorithms guarantee the exact recovery under a very relaxed constraint on the number of source and receivers, under which the conventional methods fail. Such breakthrough was possible thanks to the recent theory of compressive MUSIC and its extension using support correction criterion, where partial support are estimated using the conventional compressed sensing approaches, then the remaining supports are estimated using a novel generalized MUSIC criterion. Numerical results using coherent sources in EEG/MEG and dynamic targets confirm that the new algorithms outperform the conventional ones.

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Okkyun Lee, Jong Min Kim, Jaejoon Yoo, Kyunghwan Jin, and Jong Chul Ye "Coherent source imaging and dynamic support tracking for inverse scattering using compressive MUSIC", Proc. SPIE 8138, Wavelets and Sparsity XIV, 81380G (27 September 2011); https://doi.org/10.1117/12.893457

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KEYWORDS

Coherence imaging

Detection and tracking algorithms

Inverse scattering

Algorithm development

Compressed sensing

Inverse scattering problem

Magnetoencephalography

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