hierarchical clustering of rotations and vectors
Syntax
[c,center] = doHCluster(ori,'numCluster',n)
[c,center] = doHCluster(ori,'maxAngle',omega)
Input
ori | orientation |
n | number of clusters |
omega | maximum angle |
Output
c | list of clusters |
center | center of the clusters |
Example
% generate orientation clustered around 5 centers
cs = crystalSymmetry('m-3m');
center = orientation.rand(5,cs);
odf = unimodalODF(center,'halfwidth',5*degree)
ori = odf.discreteSample(3000);
odf = SO3FunRBF (m-3m → xyz)
multimodal components
kernel: de la Vallee Poussin, halfwidth 5°
center: 5 orientations
Bunge Euler angles in degree
phi1 Phi phi2 weight
156.958 109.836 223.608 0.2
9.33344 126.207 190.491 0.2
197.878 76.1995 48.4488 0.2
156.716 113.621 184.888 0.2
151.332 117.797 66.3984 0.2
% find the clusters and its centers
tic; [c,centerRec] = calcCluster(ori,'method','hierarchical','numCluster',5); toc
Elapsed time is 7.073283 seconds.
% visualize result
oR = fundamentalRegion(cs)
plot(oR)
oR = orientationRegion
crystal symmetry: 432
max angle: 62.7994°
face normales: 14
vertices: 24
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hold on
plot(ori,ind2color(c))
caxis([1,5])
plot(center,'MarkerSize',10,'MarkerFaceColor','k','MarkerEdgeColor','k')
plot(centerRec,'MarkerSize',10,'MarkerFaceColor','r','MarkerEdgeColor','k')
hold off
plot 2000 random orientations out of 3000 given orientations
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%check the accuracy of the recomputed centers
min(angle_outer(center,centerRec)./degree)
ans =
0.6614 13.1669 0.3515 16.6213 0.1755