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The Method of Small-Volume Expansions for Medical Imaging
 

Summary: 1
The Method of Small-Volume Expansions for
Medical Imaging
Habib Ammari1
and Hyeonbae Kang2
1
Laboratoire Ondes et Acoustique, 10 rue Vauquelin, 75005, Paris, France,
CNRS, E.S.P.C.I, Universit´e Paris 7 habib.ammari@espci.fr
2
Department of Mathematics, Inha University, Incheon 402-751, Korea
hbkang@inha.ac.kr
1.1 Introduction
Inverse problems in medical imaging are in their most general form ill-posed.
They literally have no solution. If, however, in advance we have additional
structural information or supply missing information, then we may be able
to determine specific features about what we wish to image with a satisfac-
tory resolution and accuracy. One such type of information can be that the
imaging problem is to find unknown small anomalies with significantly differ-
ent parameters from those of the surrounding medium. These anomalies may
represent potential tumors at early stage.

  

Source: Ammari, Habib - Centre de Mathématique Appliquées, École Polytechnique

 

Collections: Mathematics