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Original Articles

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

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Pages 82-91 | Received 14 Jan 2012, Accepted 24 Jul 2012, Published online: 29 Aug 2012
 

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.

2010 AMS Subject Classifications :

Acknowledgements

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

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