Thermoacoustic tomography with an arbitrary elliptic operator
نویسندگان
چکیده
منابع مشابه
Thermoacoustic Tomography with an Arbitrary Elliptic Operator
Thermoacoustic tomography is a term for the inverse problem of determining of one of initial conditions of a hyperbolic equation from boundary measurements. In the past publications both stability estimates and convergent numerical methods for this problem were obtained only under some restrictive conditions imposed on the principal part of the elliptic operator. In this paper logarithmic stabi...
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Practical applications of thermoacoustic tomography require numerical inversion of the spherical mean Radon transform with the centers of integration spheres occupying an open surface. Solution of this problem is needed (both in 2-D and 3-D) because frequently the region of interest cannot be completely surrounded by the detectors, as it happens, for example, in breast imaging. We present an ef...
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ژورنال
عنوان ژورنال: Inverse Problems
سال: 2013
ISSN: 0266-5611,1361-6420
DOI: 10.1088/0266-5611/29/2/025014