A divergence-free vector field model for imaging applications

O. Škrinjar, A. Bistoquet, J. Oshinski, K. Sundareswaran, David Frakes, A. Yoganathan

Research output: Chapter in Book/Report/Conference proceedingConference contribution

11 Scopus citations

Abstract

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.

Original languageEnglish (US)
Title of host publicationProceedings - 2009 IEEE International Symposium on Biomedical Imaging
Subtitle of host publicationFrom Nano to Macro, ISBI 2009
Pages891-894
Number of pages4
DOIs
StatePublished - Nov 17 2009
Event2009 IEEE International Symposium on Biomedical Imaging: From Nano to Macro, ISBI 2009 - Boston, MA, United States
Duration: Jun 28 2009Jul 1 2009

Publication series

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

Other

Other2009 IEEE International Symposium on Biomedical Imaging: From Nano to Macro, ISBI 2009
CountryUnited States
CityBoston, MA
Period6/28/097/1/09

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Keywords

  • Divergence-free
  • Incompressibility
  • Vector field representation

ASJC Scopus subject areas

  • Biomedical Engineering
  • Radiology Nuclear Medicine and imaging

Cite this

Škrinjar, O., Bistoquet, A., Oshinski, J., Sundareswaran, K., Frakes, D., & Yoganathan, A. (2009). A divergence-free vector field model for imaging applications. In Proceedings - 2009 IEEE International Symposium on Biomedical Imaging: From Nano to Macro, ISBI 2009 (pp. 891-894). [5193196] (Proceedings - 2009 IEEE International Symposium on Biomedical Imaging: From Nano to Macro, ISBI 2009). https://doi.org/10.1109/ISBI.2009.5193196