Fast and Analytical EAP Approximation from a 4th-Order Tensor

Table 1

Computation time. A 30×30 voxel slice of the synthetic dataset was used for computations. The numerical Fourier Transform was performed on a coarse spherical mesh with 162 vertices to compute the angular profile of the EAP. The proposed analytical approximate EAPs were computed on both the coarse mesh and a finer spherical mesh with 2562 vertices. The analytical formulation is clearly advantageous.

	Numerical coarse	Analytical coarse	Analytical fine
Time	526 s = 8 m 46 s	10 s	73 s