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Previous Up Next Article From References: 37
 

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From References: 37
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MR2168949 (2006k:35295) 35R30 (31B20 35-02 74G75 78A70 92C55)
Ammari, Habib (F-POLY-AM); Kang, Hyeonbae (KR-SNU-SM)
Reconstruction of small inhomogeneities from boundary measurements.
Lecture Notes in Mathematics, 1846.
Springer-Verlag, Berlin, 2004. x+238 pp. $59.95. ISBN 3-540-22483-1
The aim of electrical impedance tomography is to reconstruct the electrical conductivity of a body
from boundary measurements of currents and voltages. The problem is strongly ill-posed. In order
to make it tractable, prior knowledge about the unknown conductivity is required. Let Rd
,
d 2, be a bounded domain which represents the body and Ds = Bs + zs , 1 s m, be
subdomains which neither intersect each other nor touch . The Ds represent inhomogeneities
centered at zs, of size , shape Bs and constant conductivity ks, 0 < ks = 1 < +, s. As a
consequence, conductivity k[·] is assumed to be a function of the type k[x] = [ m
s=1 Ds] +
m
s=1 ks[Ds]. The goal becomes to determine the tuple {, zs, Bs, ks} instead of the precise

  

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

 

Collections: Mathematics