Euler Delta Crossings
Generates tracks with termination criteria defined by a delta function [R8] and it has similarities with FACT algorithm [R9] and Basser’s method but uses trilinear interpolation.
Can be used with any reconstruction method as DTI, DSI, QBI, GQI which can calculate an orientation distribution function and find the local peaks of that function. For example a single tensor model can give you only one peak a dual tensor model 2 peaks and quantitative anisotropy method as used in GQI can give you 3,4,5 or even more peaks.
The parameters of the delta function are checking thresholds for the direction propagation magnitude and the angle of propagation.
A specific number of seeds is defined randomly and then the tracks are generated for that seed if the delta function returns true.
Trilinear interpolation is being used for defining the weights of the propagation.
References
[R8] | (1, 2) Yeh. et al. Generalized Q-Sampling Imaging, TMI 2010. |
[R9] | (1, 2) Mori et al. Three-dimensional tracking of axonal projections |
in the brain by magnetic resonance imaging. Ann. Neurol. 1999.