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An inverse problem for reduced-encoding MRI velocimetry in potential flow

Rovas Dimitrios, Raguin L. Guy, Georgiadis, John, 1938-, Kodali Anil

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Extent4 pagesen
TitleAn inverse problem for reduced-encoding MRI velocimetry in potential flowen
CreatorRovas Dimitriosen
CreatorΡοβας Δημητριοςel
CreatorRaguin L. Guyen
CreatorGeorgiadis, John, 1938-en
CreatorKodali Anilen
PublisherInstitute of Electrical and Electronics Engineersen
Content SummaryWe 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. en
Type of ItemΠλήρης Δημοσίευση σε Συνέδριοel
Type of ItemConference Full Paperen
Date of Item2015-10-17-
Date of Publication2004-
SubjectInverse problemsen
SubjectMagnetic resonance imagingen
SubjectVelocity measurementen
SubjectLaplace equationsen
SubjectFinite element methodsen
SubjectData miningen
SubjectNoise measurementen
SubjectReconstruction algorithmsen
SubjectMatched filtersen
Bibliographic CitationL. 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.2004.1403356en