Time-dependent angularly averaged inverse transport
نویسندگان
چکیده
منابع مشابه
Time - dependent angularly averaged inverse transport ( extended
This paper concerns the reconstruction of the absorption and scattering parameters in a time-dependent linear transport equation from knowledge of angularly averaged measurements performed at the boundary of a domain of interest. We show that the absorption coefficient and the spatial component of the scattering coefficient are uniquely determined by such measurements. We obtain stability resul...
متن کاملTime-dependent angularly averaged inverse transport
This paper concerns the reconstruction of the absorption and scattering parameters in a time-dependent linear transport equation from knowledge of angularly averaged measurements performed at the boundary of a domain of interest. Such measurement settings find applications in medical and geophysical imaging. We show that the absorption coefficient and the spatial component of the scattering coe...
متن کاملTime - dependent angularly averaged inverse transport ( extended version )
This paper concerns the reconstruction of the absorption and scattering parameters in a time-dependent linear transport equation from knowledge of angularly averaged measurements performed at the boundary of a domain of interest. We show that the absorption coefficient and the spatial component of the scattering coefficient are uniquely determined by such measurements. We obtain stability resul...
متن کاملM ay 2 00 9 Time - dependent angularly averaged inverse transport ( extended
This paper concerns the reconstruction of the absorption and scattering parameters in a time-dependent linear transport equation from knowledge of angularly averaged measurements performed at the boundary of a domain of interest. We show that the absorption coefficient and the spatial component of the scattering coefficient are uniquely determined by such measurements. We obtain stability resul...
متن کاملInverse transport with isotropic sources and angularly averaged measurements
We consider the reconstruction of a spatially-dependent scattering coefficient in a linear transport equation from diffusion-type measurements. In this setup, the contribution to the measurement is an integral of the scattering kernel against a product of harmonic functions, plus an additional term that is small when absorption and scattering are small. The linearized problem is severely ill-po...
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ژورنال
عنوان ژورنال: Inverse Problems
سال: 2009
ISSN: 0266-5611,1361-6420
DOI: 10.1088/0266-5611/25/7/075010