Stabilized Backward Diffusion for Partial Volume Correction

Zsolt Marta
Department of Control Engineering and Information Technology, Budapest University of Technology and Economics, Budapest, Hungary
Central European Seminar on Computer Graphics (CESCG’13), 2013


   title={Stabilized Backward Diffusion for Partial Volume Correction},

   author={M{‘a}rta, Zsolt},



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This paper proposes a novel algorithm for correcting the Partial Volume Effect in Positron Emission Tomography (PET) images, using registered Computed Tomography (CT) data to enhance the blurred PET image. The algorithm is based on a forward-and-backward anisotropic heat equation solver that deblurs the PET image along CT gradients. A forward diffusion force is also utilized to stabilize the process where necessary. The algorithm retains average original PET intensity and avoids the introduction of negative PET values, a crucial property in clinical uses. A GPU implementation of our work is outlined and we present the reconstruction results on measured PET/CT data.
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