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

Abstract

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.

Keywords:

• SPECT
• tomography
• inverse problem
• attenuation
• motion estimation

2010 AMS Subject Classifications :

• 35A15
• 15A29
• 65F22
• 74S30
• 68U10

Acknowledgements

We acknowledge the support of the European Union and the State of Schleswig-Holstein (MOIN CC: grant no. 122-09-053).