Table 1 No. 021: transport cost \(T_c(f_{\rho }^*)\) of (3), total mass-measure distortion \(\mathcal {D}_{\mathcal {M}}(f_{\rho }^*)\) of (10), mean, SD and number of folded tetrahedrons for \(p = 4, 8\) and 12, respectively.

From: 3D brain tumor segmentation using a two-stage optimal mass transport algorithm

No. 021

\(p = 4\)

\(p = 8\)

\(p = 12\)

Transport cost \(T_c(f_{\rho }^*)\)

0.0976

0.1085

0.1157

Total distortion \(\mathcal {D}_{\mathcal {M}}(f_{\rho }^*)\)

0.0748

0.0430

0.0330

Mean

1.0001

0.9999

1.0002

Standard deviation (SD)

0.1348

0.0842

0.0680

Number of folded tetrahedrons

12

8

6