Table 1.

Overview of the experiments, varied parameters are highlighted.

	Dataset properties							Coordinate parameters			Flows and limits parameter	SPI
	Sec./Fig.	Voxel size δ[mm]	k/SNR	Curvature κ[mm−1]	Lie bracket normal component [−1]	Angle threshold [°]	Dropout fraction	Kernel size N [voxels]	Sharpness β	rmax	hmax [voxels]	λ
Analytical vector field simulations	3.1.1/3	Varied {.5,1,2}	Fixed 250	Fixed 1/26	Fixed .031	NA	NA	Varied {3,7,9,11}	Varied {1, …, 10}	Varied	NA	NA
	3.1.2/4	Varied {.5,1,2}	Varied {50, … 450, ∞}	Fixed 1/26	Fixed .031 & 0	NA	NA	Fixed 11	Fixed 1	Varied	Fixed 5	NA
	3.1.3/5	Fixed 1	Fixed 250	Fixed 1/26	Fixed .031 & 0	NA	Varied {.01, …,.2}	Varied {3,7,9,11}	Fixed 1	Varied	Varied (Polders et al.,)	NA
	3.1.4/S1	Fixed 1	Varied {50, … 450, ∞}	Varied 1/{5, 15, 25}	NA	Varied {15, …, 55}	Varied {.01, …,.2}	NA	NA	NA	NA	NA
dMRI simulations	3.2.1/6a	Fixed 1	Varied {10, …, 50}	Fixed 1/26	Fixed .031 & 0	Fixed 35	NA	Fixed 11	Fixed 1	Fixed	Fixed 5	NA
	3.2.2/6b	Fixed 1	Fixed 20	Varied 1/{8, …, 33}	Fixed .031 & 0	Fixed 35	NA	Fixed 11	Fixed 1	Fixed	Fixed 5 voxels	NA
	3.2.3/6c	Fixed 1	Fixed 20	Fixed 1/26	Varied {0, …, 0.04}	Fixed 35	NA	Fixed 11	Fixed 1	Fixed	Fixed 5 voxels	NA
Diffusion MRI real date	3.3.1/S2	Fixed 1.25	Fixed	NA	NA	Fixed 35	NA	NA	NA	Fixed	NA	NA
	3.3.1/7	Fixed 1.25	Fixed	NA	NA	Fixed 35	NA	Fixed 11	Fixed 1	Fixed	Fixed 5 voxels	.008
	3.3.1/S3a	Fixed 1.25	Fixed	NA	NA	Varied {15, 35, 45}	NA	Fixed 11	Fixed 1	Fixed	NA	.008
	3.3.1/S4	Fixed 1.25	Fixed	NA	NA	Fixed 35	NA	Varied {7, 11}	Varied (Sporns, 200)	Varied	NA	.008
	3.3.2/8	Fixed .3 & .4	Fixed	NA	NA	Fixed 35	NA	Fixed 11	Fixed 1	Fixed 1.65	NA	Fixed .015 & .02