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 - 2009/11/17

Y1 - 2009/11/17

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 - http://www.scopus.com/inward/record.url?scp=70449341645&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=70449341645&partnerID=8YFLogxK

U2 - 10.1109/ISBI.2009.5193196

DO - 10.1109/ISBI.2009.5193196

M3 - Conference contribution

AN - SCOPUS:70449341645

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

T2 - 2009 IEEE International Symposium on Biomedical Imaging: From Nano to Macro, ISBI 2009

Y2 - 28 June 2009 through 1 July 2009

ER -