Research Article

Crossing Fibers Detection with an Analytical High Order Tensor Decomposition

Table 1

Success rate (%) in detecting the number of crossing fiber bundles, results of 100 simulations of noise for each crossing angle and for each SNR level.

Separation angle
SNR Method

40Adecomp-SHOT 100% 100% 100% 100% 100% 100% 100% 100% 100% 68% 3%
CP-decomp. 100% 100% 100% 100% 100% 100% 100% 100% 100% 61% 1%
Z-eigenvalues 100% 100% 99% 99% 90% 11% 0%

30Adecomp-SHOT 100% 100% 100% 100% 100% 100% 100% 100% 95% 41% 4%
CP-decomp 100% 100% 100% 100% 100% 100% 100% 100% 94% 39% 3%
Z-eigenvalues 100% 100% 98% 100% 74% 11% 0%

20Adecomp-SHOT 99% 99% 99% 99% 98% 99% 98% 99% 77% 33% 8%
CP-decomp 100% 100% 100% 100% 100% 100% 100% 99% 74% 34% 4%
Z-eigenvalues 99% 100% 100% 99% 72% 24% 0%

10Adecomp-SHOT 96% 82% 88% 82% 80% 81% 72% 67% 54% 36% 27%
CP-decomp 100% 100% 100% 100% 100% 100% 99% 92% 80% 67% 55%
Z-eigenvalues 100% 99% 98% 95% 73% 47% 0%