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Institutional Repository [SANDBOX]
Technical University of Crete
Technical University of Crete
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| URI: | http://purl.tuc.gr/dl/dias/9D137A6B-2FE0-4192-BB08-6D35CEE8E58B | ||
| Year | 2004 | ||
| Type of Item | Conference Full Paper | ||
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| Bibliographic Citation | L. G. Raguin, A. K. Kodali, D. V. Rovas, J. G. Georgiadis, "An inverse problem for reduced-encoding MRI velocimetry in potential flow," in 26th Annual International Conference of the IEEE Engineering in Medicine and Biology Society, pp.1100-1103, 2004. doi: 10.1109/IEMBS.2004.1403356 https://doi.org/10.1109/IEMBS.2004.1403356 | ||
| Appears in Collections |
We propose a computational technique to reconstruct internal physiological flows described by sparse point-wise MRI velocity measurements. Assuming that the viscous forces in the flow are negligible, the incompressible flow field can be obtained from a velocity potential that satisfies Laplace's equation. A set of basis functions each satisfying Laplace's equation with appropriately defined boundary data is constructed using the finite-element method. An inverse problem is formulated where higher resolution boundary and internal velocity data are extracted from the point-wise MRI velocity measurements using a least-squares method. From the results we obtained with ∼100 internal measurement points, the proposed reconstruction method is shown to be effective in filtering out the experimental noise at levels as high as 30%, while matching the reference solution within 2%. This allows the reconstruction of a high-resolution velocity field with limited MRI encoding.
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