Examples¶
Example histogram files used below:
- anisotropy_histogram_10x10.txt
- azimuth_histogram_10x10.txt
- elevation_histogram_10x10.txt
- histogram_10x10.txt
- isotropy_histogram_10x10.txt
- one_angle_histogram_10x10.txt
Isotropic system¶
Running in ipython:
run histograms_brain.py isotropy_histogram_10x10.txt --skip-rows 1 --histogram --histogram-fraction --card-orien --card-vectors --threshold 0.5 --prefix iso --isotropy -s
Results:
___Threshold - evaluation of cardinal directions___
n_max 50
___Evaluation of isotropy___
chi_square 0.0
distribution is isotropic, \alpha = 0.0
fraction ditribution: mean \pm SD 0.01 \pm 6.93889390391e-18
shape, vector, vector_means
shape = (h_azim, v_elev)
vector = [azim1, azim2, elev1, elev2]
vector_mean = [azim_mean, elev_mean]
elevs: ...
azims: ...
vector: ...
vector_mean: ...
___Cardinal directions___
elevs: ...
azims: ...
vector: ...
vector_mean: ...
| Length density | Cardinal directions |
|---|---|
 |
 |
Single angle system¶
Running in ipython:
run histograms_brain.py one_angle_histogram_10x10.txt --skip-rows 1 --histogram --histogram-fraction --card-orien --card-vectors --threshold 0.5 --prefix one_angle --isotropy -s
Results:
___Threshold - evaluation of cardinal directions___
n_max 1
___Evaluation of isotropy___
chi_square 99.0
distribution is anisotropic and there are preffered directions, \alpha = 1.0
fraction ditribution: mean \pm SD 0.01 \pm 0.0994987437107
shape, vector, vector_means
shape = (h_azim, v_elev)
vector = [azim1, azim2, elev1, elev2]
vector_mean = [azim_mean, elev_mean]
elevs: ...
azims: ...
vector: ...
vector_mean: ...
___Cardinal directions___
elevs: ...
azims: ...
vector: ...
vector_mean: ...
| Length density | Cardinal directions |
|---|---|
 |
 |
Azimuthal oriented system¶
Running in ipython:
run histograms_brain.py azimuth_histogram_10x10.txt --skip-rows 1 --histogram --histogram-fraction --card-orien --card-vectors --threshold 0.5 --prefix azimuth --isotropy -s
Results:
___Threshold - evaluation of cardinal directions___
n_max 31
___Evaluation of isotropy___
chi_square 0.272727272727
distribution is anisotropic, \alpha = 0.398491865559
fraction ditribution: mean \pm SD 0.01 \pm 0.00522232967867
shape, vector, vector_means
shape = (h_azim, v_elev)
vector = [azim1, azim2, elev1, elev2]
vector_mean = [azim_mean, elev_mean]
elevs: ...
azims: ...
vector: ...
vector_mean: ...
___Cardinal directions___
elevs: ...
azims: ...
vector: ...
vector_mean: ...
| Length density | Cardinal directions |
|---|---|
 |
 |
Elevation oriented system¶
Running in ipython:
run histograms_brain.py elevation_histogram_10x10.txt --skip-rows 1 --histogram --histogram-fraction --card-orien --card-vectors --threshold 0.5 --prefix elevation --isotropy -s
Results:
___Threshold - evaluation of cardinal directions___
n_max 31
___Evaluation of isotropy___
chi_square 0.272727272727
distribution is anisotropic, \alpha = 0.398491865559
fraction ditribution: mean \pm SD 0.01 \pm 0.00522232967867
shape, vector, vector_means
shape = (h_azim, v_elev)
vector = [azim1, azim2, elev1, elev2]
vector_mean = [azim_mean, elev_mean]
elevs: ...
azims: ...
vector: ...
vector_mean: ...
___Cardinal directions___
elevs: ...
azims: ...
vector: ...
vector_mean: ...
| Length density | Cardinal directions |
|---|---|
 |
 |
Anisotropic system with required threshold¶
Runing in ipython:
run histograms_brain.py anisotropy_histogram_10x10.txt --skip-rows 1 --histogram --histogram-fraction --card-orien --card-vectors --threshold 0.5 --prefix anisotropy --isotropy -s
Results:
___Threshold - evaluation of cardinal directions___
n_max 2
___Evaluation of isotropy___
chi_square 24.5555555556
distribution is anisotropic and there are preffered directions, \alpha = 0.99999927802116295
fraction ditribution: mean \pm SD 0.01 \pm 0.0495535624911
shape, vector, vector_means
shape = (h_azim, v_elev)
vector = [azim1, azim2, elev1, elev2]
vector_mean = [azim_mean, elev_mean]
elevs: ...
azims: ...
vector: ...
vector_mean: ...
___Cardinal directions___
elevs: ...
azims: ...
vector: ...
vector_mean: ...
| Length density | Cardinal directions |
|---|---|
 |
 |
Anisotropic system with given number of required directions¶
Runing in ipython:
run histograms_brain.py anisotropy_histogram_10x10.txt --skip-rows 1 --histogram --histogram-fraction --card-orien --card-vectors --n-max 3 --prefix anisotropy_n_max_3 --isotropy -s
Results:
___Evaluation of isotropy___
chi_square 24.5555555556
distribution is anisotropic and there are preffered directions, \alpha = 0.99999927802116295
fraction ditribution: mean \pm SD 0.01 \pm 0.0495535624911
shape, vector, vector_means
shape = (h_azim, v_elev)
vector = [azim1, azim2, elev1, elev2]
vector_mean = [azim_mean, elev_mean]
elevs: ...
azims: ...
vector: ...
vector_mean: ...
___Cardinal directions___
elevs: ...
azims: ...
vector: ...
vector_mean: ...
| Length density | Cardinal directions |
|---|---|
 |
 |
Random oriented system¶
Run in ipython:
run histograms_brain.py histogram_10x10.txt --histogram --histogram-fraction --card-orien --card-vectors --threshold 0.5 --isotropy -s
Results:
___Threshold - evaluation of cardinal directions___
n_max 45
___Evaluation of isotropy___
chi_square 0.0131227089718
distribution is isotropic, \alpha = 0.0912016692997
fraction ditribution: mean \pm SD 0.01 \pm 0.00114554393071
shape, vector, vector_means
shape = (h_azim, v_elev)
vector = [azim1, azim2, elev1, elev2]
vector_mean = [azim_mean, elev_mean]
elevs: ...
azims: ...
vector: ...
vector_mean: ...
___Cardinal directions___
elevs: ...
azims: ...
vector: ...
vector_mean: ...
| Length density | Cardinal directions |
|---|---|
 |
 |