Cardiac T1 mapping is a powerful MR imaging technique for quantitative assessment of microstructural changes in myocardial tissues. Existing methods are limited in terms of spatial coverage and through-plane resolution due to limitations in acquisition speed and the presence of cardiac and respiratory motion. This work presents a direct reconstruction framework, which allows estimation of 3D T1 maps from sparsely sampled k-space data using physical modeling through the Bloch equation, low-rank constraints on the dynamic images and sparsity constraints on the estimated T1 maps.
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