Visualizing fluid flows via regularized optimal mass transport with applications to neuroscience
Regularized optimal mass transport (rOMT) problem adds a diffusion term to the continuity equation in the original dynamic formulation of the optimal mass transport (OMT) problem proposed by Benamou and Brenier. We show that the rOMT model serves as a powerful tool in computational fluid dynamics (C...
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| creator | Chen, Xinan Tran, Anh Phong Elkin, Rena Benveniste, Helene Tannenbaum, Allen R |
| description | Regularized optimal mass transport (rOMT) problem adds a diffusion term to
the continuity equation in the original dynamic formulation of the optimal mass
transport (OMT) problem proposed by Benamou and Brenier. We show that the rOMT
model serves as a powerful tool in computational fluid dynamics (CFD) for
visualizing fluid flows in the glymphatic system. In the present work, we
describe how to modify the previous numerical method for efficient
implementation, resulting in a significant reduction in computational runtime.
Numerical results applied to synthetic and real-data are provided. |
| doi_str_mv | 10.48550/arxiv.2201.07307 |
| format | Article |
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the continuity equation in the original dynamic formulation of the optimal mass
transport (OMT) problem proposed by Benamou and Brenier. We show that the rOMT
model serves as a powerful tool in computational fluid dynamics (CFD) for
visualizing fluid flows in the glymphatic system. In the present work, we
describe how to modify the previous numerical method for efficient
implementation, resulting in a significant reduction in computational runtime.
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the continuity equation in the original dynamic formulation of the optimal mass
transport (OMT) problem proposed by Benamou and Brenier. We show that the rOMT
model serves as a powerful tool in computational fluid dynamics (CFD) for
visualizing fluid flows in the glymphatic system. In the present work, we
describe how to modify the previous numerical method for efficient
implementation, resulting in a significant reduction in computational runtime.
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the continuity equation in the original dynamic formulation of the optimal mass
transport (OMT) problem proposed by Benamou and Brenier. We show that the rOMT
model serves as a powerful tool in computational fluid dynamics (CFD) for
visualizing fluid flows in the glymphatic system. In the present work, we
describe how to modify the previous numerical method for efficient
implementation, resulting in a significant reduction in computational runtime.
Numerical results applied to synthetic and real-data are provided.</abstract><doi>10.48550/arxiv.2201.07307</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Computer Science - Numerical Analysis Mathematics - Numerical Analysis |
| title | Visualizing fluid flows via regularized optimal mass transport with applications to neuroscience |
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