Analysis of AneuRisk65 data: Internal carotid artery shape analysis

Abstract

The AneuRisk65 data are analysed using methodology from statistical shape analysis. The internal carotid arteries are aligned using translation and rotation in three dimensions, together with shifts of the abscissa coordinate. Spline interpolation and weighted Procrustes methods are used to estimate the mean size-and-shapes in each of the six groups. Differences in torsion and curvature of the group means are highlighted, and permutation and bootstrap tests confirm there is weak evidence for differences in shape between the upper aneurysm group compared to the others. Finally shape variability, analysis of mean radii and classification are explored.