Improving computation of cardiovascular relative pressure fields from velocity MRI Export

@article{citeulike:5054372, abstract = {To evaluate a multigrid-based solver for the pressure Poisson equation (PPE) with Galerkin coarsening, which works directly on the specified domain, for the computation of relative pressure fields from velocity MRI data.We compared the proposed structure-defined Poisson solver to other popular Poisson solvers working on unmodified rectangular and modified quasirectangular domains using synthetic and in vitro phantoms in which the mathematical solution of the pressure field is known, as well as on in vivo MRI velocity measurements of aortic blood flow dynamics.All three PPE solvers gave accurate results for convex computational domains. Using a rectangular or quasirectangular domain on a more complicated domain, like a c-shape, revealed a systematic underestimation of the pressure amplitudes, while the proposed PPE solver, working directly on the specified domain, provided accurate estimates of the relative pressure fields.Popular iterative approaches with quasirectangular computational domains can lead to significant systematic underestimation of the pressure amplitude. We suggest using a multigrid-based PPE solver with Galerkin coarsening, which works directly on the structure-defined computational domain. This solver provides accurate estimates of the relative pressure fields for both simple and complex geometries with additional significant improvements with respect to execution speed. J. Magn. Reson. Imaging 2009;30:54-61. {\copyright} 2009 Wiley-Liss, Inc.}, address = {Division of Cardiovascular Medicine, Department of Medical and Health Sciences, Link\"{o}ping University, Link\"{o}ping, Sweden; Center for Medical Image Science and Visualization (CMIV), Link\"{o}ping University, Link\"{o}ping, Sweden; Division of Medical Informatics, Department of Biomedical Engineering, Link\"{o}ping University, Link\"{o}ping, Sweden}, author = {Ebbers, Tino and Farneb\"{a}ck, Gunnar}, citeulike-article-id = {5054372}, citeulike-linkout-0 = {http://dx.doi.org/10.1002/jmri.21775}, citeulike-linkout-1 = {http://www3.interscience.wiley.com/cgi-bin/abstract/122466350/ABSTRACT}, doi = {10.1002/jmri.21775}, journal = {Journal of Magnetic Resonance Imaging}, keywords = {interpolation, mri, p\_my\_db\_cul, velocity}, number = {1}, pages = {54--61}, posted-at = {2009-07-04 10:54:49}, priority = {2}, title = {Improving computation of cardiovascular relative pressure fields from velocity MRI}, url = {http://dx.doi.org/10.1002/jmri.21775}, volume = {30}, year = {2009} }

TY - JOUR ID - citeulike:5054372 L3 - citeulike-article-id:5054372 N2 - To evaluate a multigrid-based solver for the pressure Poisson equation (PPE) with Galerkin coarsening, which works directly on the specified domain, for the computation of relative pressure fields from velocity MRI data.We compared the proposed structure-defined Poisson solver to other popular Poisson solvers working on unmodified rectangular and modified quasirectangular domains using synthetic and in vitro phantoms in which the mathematical solution of the pressure field is known, as well as on in vivo MRI velocity measurements of aortic blood flow dynamics.All three PPE solvers gave accurate results for convex computational domains. Using a rectangular or quasirectangular domain on a more complicated domain, like a c-shape, revealed a systematic underestimation of the pressure amplitudes, while the proposed PPE solver, working directly on the specified domain, provided accurate estimates of the relative pressure fields.Popular iterative approaches with quasirectangular computational domains can lead to significant systematic underestimation of the pressure amplitude. We suggest using a multigrid-based PPE solver with Galerkin coarsening, which works directly on the structure-defined computational domain. This solver provides accurate estimates of the relative pressure fields for both simple and complex geometries with additional significant improvements with respect to execution speed. J. Magn. Reson. Imaging 2009;30:54-61. © 2009 Wiley-Liss, Inc. IS - 1 JF - Journal of Magnetic Resonance Imaging AD - Division of Cardiovascular Medicine, Department of Medical and Health Sciences, Linköping University, Linköping, Sweden; Center for Medical Image Science and Visualization (CMIV), Linköping University, Linköping, Sweden; Division of Medical Informatics, Department of Biomedical Engineering, Linköping University, Linköping, Sweden EP - 61 TI - Improving computation of cardiovascular relative pressure fields from velocity MRI VL - 30 SP - 54 KW - interpolation KW - mri KW - p_my_db_cul KW - velocity AU - Ebbers, Tino AU - Farnebäck, Gunnar PY - 2009/// UR - http://dx.doi.org/10.1002/jmri.21775 ER -