A divergence-free vector field model for imaging applications

Authors:
O. Skrinjar;A. Bistoquet;J. Oshinski;K. Sundareswaran;D. Frakes;A. Yoganathan
Affiliations:
Department of Biomedical Engineering, Georgia Institute of Technology, Atlanta, GA;School of Electrical and Computer Engineering, Georgia Institute of Technology, Atlanta, GA;Department of Radiology, Emory University, Atlanta, GA;Department of Biomedical Engineering, Georgia Institute of Technology, Atlanta, GA;Department of Bioenegineering, Arizona State University, Tempe, AZ;Department of Biomedical Engineering, Georgia Institute of Technology, Atlanta, GA
Venue:
ISBI'09 Proceedings of the Sixth IEEE international conference on Symposium on Biomedical Imaging: From Nano to Macro
Year:
2009

Citing 2
Cited 1

A Projection Operator for the Restoration of Divergence-Free Vector Fields

IEEE Transactions on Pattern Analysis and Machine Intelligence
Principal Warps: Thin-Plate Splines and the Decomposition of Deformations

IEEE Transactions on Pattern Analysis and Machine Intelligence

Spline-Based Hybrid Image Registration using Landmark and Intensity Information based on Matrix-Valued Non-radial Basis Functions

International Journal of Computer Vision

Quantified Score

Hi-index	0.00

Visualization

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-wise continuous 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.