Myocardial kinematics from tagged MRI based on a 4-D B-spline model

Nicholas J. Tustison, Victor G. Dávila-Román, Amir A. Amini

Research output: Contribution to journalArticlepeer-review

40 Scopus citations


Current research investigating the modeling of left ventricular dynamics for accurate clinical assessment of cardiac function is extensive. Magnetic resonance (MR) tagging is a functional imaging method which allows for encoding of a grid of signal voids on cardiac MR images, providing a mechanism for noninvasive measurement of intramural tissue deformations, in vivo. We present a novel technique of employing a four-dimensional (4-D) B-spline model which permits concurrent determination of myocardial beads and myocardial strains. The method entails fitting the knot planes of the 4-D B-spline model for fixed times to a sequence of triplets of orthogonal sets of tag surfaces for all imaged volumetric frames within the constraints of the model's spatio-temporal internal energy. From a three-dimensional (3-D) displacement field, the corresponding long and short-axis Lagrangian normal, shear, and principal strain maps are produced. As an important by product, the points defined by the 3-D intersections of the triplets of orthogonal tag planes, which we refer to as myocardial beads, can easily be determined by our model. Displaying the beads as a movie loop allows for the visualization of the nonrigid movement of the left ventricle in 3-D.

Original languageEnglish
Pages (from-to)1038-1040
Number of pages3
JournalIEEE Transactions on Biomedical Engineering
Issue number8
StatePublished - Aug 1 2003


  • B-splines
  • Cardiac motion
  • Myocardial beads
  • Myocardial strain
  • Tagged MRI


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