""" ================================== Calculation of Outliers with Cluster Confidence Index ================================== This is an outlier scoring method that compares the pathways of each streamline in a bundle (pairwise) and scores each streamline by how many other streamlines have similar pathways. The details can be found in [Jordan_2018_plm]_. """ from dipy.data import read_stanford_labels from dipy.reconst.shm import CsaOdfModel from dipy.data import default_sphere from dipy.direction import peaks_from_model from dipy.tracking.local import ThresholdTissueClassifier from dipy.tracking import utils from dipy.tracking.local import LocalTracking from dipy.tracking.streamline import Streamlines from dipy.viz import actor, window from dipy.tracking.utils import length import matplotlib.pyplot as plt import matplotlib from dipy.tracking.streamline import cluster_confidence """ First, we need to generate some streamlines. For a more complete description of these steps, please refer to the CSA Probabilistic Tracking and the Visualization of ROI Surface Rendered with Streamlines Tutorials. """ hardi_img, gtab, labels_img = read_stanford_labels() data = hardi_img.get_data() labels = labels_img.get_data() affine = hardi_img.affine white_matter = (labels == 1) | (labels == 2) csa_model = CsaOdfModel(gtab, sh_order=6) csa_peaks = peaks_from_model(csa_model, data, default_sphere, relative_peak_threshold=.8, min_separation_angle=45, mask=white_matter) classifier = ThresholdTissueClassifier(csa_peaks.gfa, .25) """ We will use a slice of the anatomically-based corpus callosum ROI as our seed mask to demonstrate the method. """ # Make a corpus callosum seed mask for tracking seed_mask = labels == 2 seeds = utils.seeds_from_mask(seed_mask, density=[1, 1, 1], affine=affine) # Make a streamline bundle model of the corpus callosum ROI connectivity streamlines = LocalTracking(csa_peaks, classifier, seeds, affine, step_size=2) streamlines = Streamlines(streamlines) """ We do not want our results inflated by short streamlines, so we remove streamlines shorter than 40mm prior to calculating the CCI. """ lengths = list(length(streamlines)) long_streamlines = Streamlines() for i, sl in enumerate(streamlines): if lengths[i] > 40: long_streamlines.append(sl) """ Now we calculate the Cluster Confidence Index using the corpus callosum streamline bundle and visualize them. """ cci = cluster_confidence(long_streamlines) # Visualize the streamlines, colored by cci ren = window.Renderer() hue = [0.5, 1] saturation = [0.0, 1.0] lut_cmap = actor.colormap_lookup_table(scale_range=(cci.min(), cci.max()/4), hue_range=hue, saturation_range=saturation) bar3 = actor.scalar_bar(lut_cmap) ren.add(bar3) stream_actor = actor.line(long_streamlines, cci, linewidth=0.1, lookup_colormap=lut_cmap) ren.add(stream_actor) """ If you set interactive to True (below), the rendering will pop up in an interactive window. """ interactive = False if interactive: window.show(ren) window.record(ren, n_frames=1, out_path='cci_streamlines.png', size=(800, 800)) """ .. figure:: cci_streamlines.png :align: center Cluster Confidence Index of corpus callosum dataset. If you think of each streamline as a sample of a potential pathway through a complex landscape of white matter anatomy probed via water diffusion, intuitively we have more confidence that pathways represented by many samples (streamlines) reflect a more stable representation of the underlying phenomenon we are trying to model (anatomical landscape) than do lone samples. The CCI provides a voting system where by each streamline (within a set tolerance) gets to vote on how much support it lends to. Outlier pathways score relatively low on CCI, since they do not have many streamlines voting for them. These outliers can be removed by thresholding on the CCI metric. """ fig, ax = plt.subplots(1) ax.hist(cci, bins=100, histtype='step') ax.set_xlabel('CCI') ax.set_ylabel('# streamlines') fig.savefig('cci_histogram.png') """ .. figure:: cci_histogram.png :align: center Histogram of Cluster Confidence Index values. Now we threshold the CCI, defining outliers as streamlines that score below 1. """ keep_streamlines = Streamlines() for i, sl in enumerate(long_streamlines): if cci[i] >= 1: keep_streamlines.append(sl) # Visualize the streamlines we kept ren = window.Renderer() keep_streamlines_actor = actor.line(keep_streamlines, linewidth=0.1) ren.add(keep_streamlines_actor) interactive = False if interactive: window.show(ren) window.record(ren, n_frames=1, out_path='filtered_cci_streamlines.png', size=(800, 800)) """ .. figure:: filtered_cci_streamlines.png :align: center Outliers, defined as streamlines scoring CCI < 1, were excluded. References ---------- .. [Jordan_2018_plm] Jordan, K., Amirbekian, B., Keshavan, A., Henry, R.G. "Cluster Confidence Index: A Streamline‐Wise Pathway Reproducibility Metric for Diffusion‐Weighted MRI Tractography", Journal of Neuroimaging, 2017. .. include:: ../links_names.inc """