A variational model for SPECT reconstruction with a nonlinearly transformed attenuation prototype

In single photon emission computed tomography (SPECT) reconstruction, the objective is to reconstruct the density of a radioactive marker inside a patient from projections. In this work, state-of-the-art reconstruction models for SPECT reconstruction with a so-called attenuation prototype are discussed. A multimodal correspondence problem is brought up and a novel variational model for SPECT reconstruction is presented that addresses the correspondence problem. This is followed by a description of a numerical realization. Numerical results show the necessity of the proposed SPECT reconstruction model.