A Projection Operator for the Restoration of Divergence-Free Vector Fields
IEEE Transactions on Pattern Analysis and Machine Intelligence
An analysis of 3D particle path integration algorithms
Journal of Computational Physics
MICCAI '01 Proceedings of the 4th International Conference on Medical Image Computing and Computer-Assisted Intervention
Signed Distance Computation Using the Angle Weighted Pseudonormal
IEEE Transactions on Visualization and Computer Graphics
A non-conforming monolithic finite element method for problems of coupled mechanics
Journal of Computational Physics
EG VCBM'08 Proceedings of the First Eurographics conference on Visual Computing for Biomedicine
Simulating left ventricular fluid-solid mechanics through the cardiac cycle under LVAD support
Journal of Computational Physics
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Accelerated methods for acquiring phase contrast (PC) MRI allow the acquisition of 4D flow data of the whole heart in clinically acceptable times. These datasets are becoming interesting both for clinicians --- to better stratify diagnosis --- and in the modeling community --- to constrain patient-specific models. One of the difficulties related to PC data is a limited accuracy in the regions of low flow such as close to the myocardial wall, where the velocity field may even produce observed blood motion across the endocardial surface. To address this issue we propose to constrain the motion of blood in cavity during the analysis by using cine MRI and replacing the PC velocity in the peri-myocardial zone by neighboring tissue velocity obtained by analysis of 3D tagged MRI. We demonstrate the effect of these corrections on 2 healthy volunteer datasets and on one patient with a hypoplastic left ventricle.