TY - GEN
T1 - A divergence-free vector field model for imaging applications
AU - Škrinjar, O.
AU - Bistoquet, A.
AU - Oshinski, J.
AU - Sundareswaran, K.
AU - Frakes, David
AU - Yoganathan, A.
PY - 2009
Y1 - 2009
N2 - Biological soft and fluid tissues, due to the high percentage of water, are nearly incompressible and consequently their velocity fields are nearly divergence-free. The two most commonly used types of vector field representation are piece-wisecontinuous representations, which are used in the finite element method (FEM), and discrete representations, which are used in the finite difference method (FDM). In both FEM and FDM frameworks divergence-free vector fields are approximated, i.e. they are not exactly divergence-free and both representation types require a relatively large number of degrees freedom. We showed that a continuous, divergence-free vector field model can effectively represent myocardial and blood velocity with a relatively small number of degrees of freedom. The divergence-free model consistently outperformed the thin plate spline model in simulations and applications with real data. The same model can be used with other incompressible solids and fluids.
AB - Biological soft and fluid tissues, due to the high percentage of water, are nearly incompressible and consequently their velocity fields are nearly divergence-free. The two most commonly used types of vector field representation are piece-wisecontinuous representations, which are used in the finite element method (FEM), and discrete representations, which are used in the finite difference method (FDM). In both FEM and FDM frameworks divergence-free vector fields are approximated, i.e. they are not exactly divergence-free and both representation types require a relatively large number of degrees freedom. We showed that a continuous, divergence-free vector field model can effectively represent myocardial and blood velocity with a relatively small number of degrees of freedom. The divergence-free model consistently outperformed the thin plate spline model in simulations and applications with real data. The same model can be used with other incompressible solids and fluids.
KW - Divergence-free
KW - Incompressibility
KW - Vector field representation
UR - https://www.scopus.com/pages/publications/70449341645
UR - https://www.scopus.com/pages/publications/70449341645#tab=citedBy
U2 - 10.1109/ISBI.2009.5193196
DO - 10.1109/ISBI.2009.5193196
M3 - Conference contribution
SN - 9781424439324
T3 - Proceedings - 2009 IEEE International Symposium on Biomedical Imaging: From Nano to Macro, ISBI 2009
SP - 891
EP - 894
BT - Proceedings - 2009 IEEE International Symposium on Biomedical Imaging
PB - IEEE Computer Society
T2 - 6th IEEE International Symposium on Biomedical Imaging: From Nano to Macro, ISBI 2009
Y2 - 28 June 2009 through 1 July 2009
ER -