4th-order Exponential Diffusion Tensor Estimator

You can use this applet to estimate a 4th-order exponential diffusion tensor (EDT) from given DW-MRI signal values associated with a list of magnetic gradient directions. This method computes the coefficients of an exponential tensor using the algorithm presented by A. Barmpoutis et al. "Exponential Tensors: A framework for efficient higher-order DT-MRI computations", ISBI, 2007.
Magnetic gradient directions:
 Signal:
 Output:
Simulate DW-MRI from fiber crossings

Display options
Left mouse button 'click and drag' rotates the 3D plot.

Instructions

Technical details: This method computes the 15 unique coefficients of a 4th-order exponential diffusion tensor using the algorithm presented by A. Barmpoutis et al. "Exponential Tensors: A framework for efficient higher-order DT-MRI computations", ISBI, 2007. The output is the list of the estimated coefficients in the following order: E400, E040 E004, E220, E022, E202, E211, E121, E112, E310, E301, E130, E031, E103, E013. The input is a list of unit vectors (magnetic gradient directions) and the corresponding DW-MRI S/S0 signal attenuations. In this demonstration the input b-value is assumed to be 1500s/mm2. First define the input values and then hit the RUN button. The 3D plot displays the estimated diffusivity function and the corresponsing input samples (red dots).

Generate synthetic data: You can test this method on synthetic DW-MRI data. DW-MRI datasets from fiber crossings can be generated by using the synthetic data generator.

System requirements: Please use Internet Explorer (Microsoft) with the latest JAVA platform installed.

Disclaimer: You can use this free software for non commercial research purposes and demonstration only without licensing fees and is provided without guarantee or warrantee expressed or implied. This program is NOT in the public domain.

For questions please feel free to contact me: Angelos Barmpoutis, abarmpou [at] cise [dot] ufl [dot] edu