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Parametric imaging of the cerebral metabolic rate for glucose (CMRGlc) using[18F]-fluorodeoxyglucose positron emission tomography is considered.Traditional imaging is hindered due to low signal to noise ratios at individualvoxels. We propose to minimize the total variation of the tracer uptake rateswhile requiring good fit of traditional Patlak equations. This minimizationguarantees spatial homogeneity within brain regions and good distinctionbetween brain regions. Brain phantom simulations demonstrate significantimprovement in quality of images by the proposed method as compared to Patlakimages with post-filtering using Gaussian or median filters.

FDG-PET Parametric Imaging by Total Variation Minimization