Transient Wave Imaging with Limited-View Data

Authors:
Habib Ammari;Mark Asch;Lili Guadarrama Bustos;Vincent Jugnon;Hyeonbae Kang
Affiliations:
habib.ammari@ens.fr;mark.asch@u-picardie.fr;Lili.Guadarrama@espci.fr;jugnon@cmap.polytechnique.fr;hbkang@inha.ac.kr
Venue:
SIAM Journal on Imaging Sciences
Year:
2011

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Abstract

We consider for the wave equation the inverse problem of identifying locations of point sources and dipoles from limited-view data. Using as weights particular background solutions constructed by the geometrical control method, we recover classical imaging algorithms by appropriately averaging limited-view data. We show both analytically and numerically that if one can accurately construct the geometric control, then one can perform imaging with the same resolution when using limited-view data as when using full-view data.