Note
Click here to download the full example code
This example explains how we can use QuickBundles [Garyfallidis12] to simplify/cluster streamlines.
First import the necessary modules.
import numpy as np
from dipy.io.streamline import load_tractogram
from dipy.segment.clustering import QuickBundles
from dipy.io.pickles import save_pickle
from dipy.data import get_fnames
from dipy.viz import window, actor, colormap
For educational purposes we will try to cluster a small streamline bundle known from neuroanatomy as the fornix.
fname = get_fnames('fornix')
Load fornix streamlines.
fornix = load_tractogram(fname, 'same', bbox_valid_check=False)
streamlines = fornix.streamlines
Perform QuickBundles clustering using the MDF metric and a 10mm distance threshold. Keep in mind that since the MDF metric requires streamlines to have the same number of points, the clustering algorithm will internally use a representation of streamlines that have been automatically downsampled/upsampled so they have only 12 points (To set manually the number of points, see Resample Feature).
qb = QuickBundles(threshold=10.)
clusters = qb.cluster(streamlines)
clusters is a ClusterMap object which contains attributes that provide information about the clustering result.
print("Nb. clusters:", len(clusters))
print("Cluster sizes:", map(len, clusters))
print("Small clusters:", clusters < 10)
print("Streamlines indices of the first cluster:\n", clusters[0].indices)
print("Centroid of the last cluster:\n", clusters[-1].centroid)
Nb. clusters: 4
Cluster sizes: <map object at 0x2bdd6dc70>
Small clusters: [False False False True]
Streamlines indices of the first cluster:
[0, 7, 8, 10, 11, 12, 13, 14, 15, 18, 26, 30, 33, 35, 41, 65, 66, 85, 100, 101, 105, 115, 116, 119, 122, 123, 124, 125, 126, 128, 129, 135, 139, 142, 143, 144, 148, 151, 159, 167, 175, 180, 181, 185, 200, 208, 210, 224, 237, 246, 249, 251, 256, 267, 270, 280, 284, 293, 296, 297, 299]
Centroid of the last cluster:
[[ 84.83774 117.9259 77.322784]
[ 86.108505 115.84363 81.91885 ]
[ 86.40357 112.25677 85.7293 ]
[ 86.48337 107.60328 88.137825]
[ 86.238976 102.51007 89.29447 ]
[ 85.04564 97.460205 88.542404]
[ 82.6024 93.14851 86.84209 ]
[ 78.98937 89.57682 85.63652 ]
[ 74.72344 86.60828 84.939186]
[ 70.40846 85.158745 82.4484 ]
[ 66.745346 86.002625 78.82582 ]
[ 64.02451 88.43942 75.06974 ]]
Nb. clusters: 4
Cluster sizes: [64, 191, 47, 1]
Small clusters: array([False, False, False, True], dtype=bool)
Streamlines indices of the first cluster:
[0, 7, 8, 10, 11, 12, 13, 14, 15, 18, 26, 30, 33, 35, 41, 65, 66, 85, 100,
101, 105, 115, 116, 119, 122, 123, 124, 125, 126, 128, 129, 135, 139, 142,
143, 144, 148, 151, 159, 167, 175, 180, 181, 185, 200, 208, 210, 224, 237,
246, 249, 251, 256, 267, 270, 280, 284, 293, 296, 297, 299]
Centroid of the last cluster:
array([[ 84.83773804, 117.92590332, 77.32278442],
[ 86.10850525, 115.84362793, 81.91885376],
[ 86.40357208, 112.25676727, 85.72930145],
[ 86.48336792, 107.60327911, 88.13782501],
[ 86.23897552, 102.5100708 , 89.29447174],
[ 85.04563904, 97.46020508, 88.54240417],
[ 82.60240173, 93.14851379, 86.84208679],
[ 78.98937225, 89.57682037, 85.63652039],
[ 74.72344208, 86.60827637, 84.9391861 ],
[ 70.40846252, 85.15874481, 82.4484024 ],
[ 66.74534607, 86.00262451, 78.82582092],
[ 64.02451324, 88.43942261, 75.0697403 ]], dtype=float32)
clusters also has attributes such as centroids (cluster representatives), and methods like add, remove, and clear to modify the clustering result.
Let’s first show the initial dataset.
# Enables/disables interactive visualization
interactive = False
scene = window.Scene()
scene.SetBackground(1, 1, 1)
scene.add(actor.streamtube(streamlines, window.colors.white))
window.record(scene, out_path='fornix_initial.png', size=(600, 600))
if interactive:
window.show(scene)
Show the centroids of the fornix after clustering (with random colors):
colormap = colormap.create_colormap(np.arange(len(clusters)))
scene.clear()
scene.SetBackground(1, 1, 1)
scene.add(actor.streamtube(streamlines, window.colors.white, opacity=0.05))
scene.add(actor.streamtube(clusters.centroids, colormap, linewidth=0.4))
window.record(scene, out_path='fornix_centroids.png', size=(600, 600))
if interactive:
window.show(scene)
Show the labeled fornix (colors from centroids).
colormap_full = np.ones((len(streamlines), 3))
for cluster, color in zip(clusters, colormap):
colormap_full[cluster.indices] = color
scene.clear()
scene.SetBackground(1, 1, 1)
scene.add(actor.streamtube(streamlines, colormap_full))
window.record(scene, out_path='fornix_clusters.png', size=(600, 600))
if interactive:
window.show(scene)
It is also possible to save the complete ClusterMap object with pickling.
save_pickle('QB.pkl', clusters)
Finally, here is a video of QuickBundles applied on a larger dataset.
Garyfallidis E. et al., QuickBundles a method for tractography simplification, Frontiers in Neuroscience, vol 6, no 175, 2012.
Total running time of the script: ( 0 minutes 0.293 seconds)