4-D Spatio-Temporal MR Perfusion Deconvolution via Tensor Total Variation

A 4-D Tensor Total Variation (TTV) deconvolution approach is adapted and evaluated for dynamic susceptibility contrast magnetic resonance imaging (DSC-MRI) in the brain. TTV exploits the temporal continuity of the contrast agent concentration and the spatial correlation of the non-random structure of the microvasculature. The algorithm is guaranteed to converge to global optima and outperforms the baseline methods (singular value decomposition-based and Tikhonov regularization) on both synthetic and real data of subjects with glioblastomas, in terms of improving accuracy of residue functions, quantification of perfusion maps, and localization of tumor tissue.

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