Intravoxel Incoherent Motion (IVIM) imaging is an attractive approach for contrast-agent free in vivo perfusion measurement in the heart. Since the data is acquired during free breathing, nonrigid respiratory motion is considerable and needs to be corrected before estimation of IVIM parameters. In order to provide accurate image registration, an approach with parametric total variation regularization of displacements and low-rank structure of aligned images stack is presented. The proposed method allows for robust IVIM parameter estimation and improves mean squared residuals of the IVIM model by 24% on average compared to state-of-the-art non-rigid registration methods.
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