A.A. Bukhgeim and S.G. Kazantsev (Russia)
Emission tomography, SPECT, fan-beam attenuated Radon transform, transport equation, inverse problems.
We consider the problem of two–dimensional single pho ton emission tomography (SPECT) in a case of a fan-beam geometry, which consists of recovering unknown emission map from SPECT data affected by a non-constant known attenuation coefficient. The straight line model (integral equation) is replaced by an inverse problem for a transport equation. In the case of the unit disk an explicit formula for recovering the emission map is derived. The numerical evaluation for the formula is presented.
Important Links:
Go Back
