Accurate Anisotropic Fast Marching for Diffusion-Based Geodesic Tractography

Table 1

Summary of the simulation results with an increasing ratio between the largest and the lowest tensor eigenvalue (the corresponding FA value is shown on the second row). Top: mean and standard deviations of the relative error between numerical and analytic solutions for the Eikonal equation in a homogeneous medium. Bottom: mean and standard deviations of the value of ∇𝑢^𝑇𝐃∇𝑢 in a circular tensor field.

ratio	1	2	5	10	50
FA	0	0.17	0.59	0.79	0.96
mean (%)	0.79	0.93	1.25	1.54	2.16
SD (%)	0.62	0.86	1.53	2.16	3.71
ratio	5	10	20	50	100
FA	0.59	0.79	0.90	0.96	0.98
mean	0.995	0.993	0.989	0.997	1.059
SD	0.068	0.086	0.112	0.213	0.634