Table 2

List of the investigated geometric parameters, their descriptions, and median relative uncertainties (MRUs)

Parameter groupParameter name, unit (exemplary reference)Parameter abbreviationShort descriptionMRU
SizeHeight, mm19HMaximum perpendicular distance from the neck plane to the aneurysm surface0.140
Maximum dimension, mm32LmaxMaximum distance between two points on the aneurysm surface0.157
Maximum height, mm15HmaxMaximum distance between the centroid of the neck and the aneurysm surface0.123
Maximum diameter, mm17DmaxMaximum neck plane-parallel distance between two points on the aneurysm surface0.169
Bulge height, mm19HbDistance between the neck plane and the maximum diameter0.373
Surface area, mm215ASurface area of the aneurysm0.215
Convex hull surface area, mm215ACHSurface area of the aneurysm’s convex hull0.277
Minimal bounding sphere surface area, mm233AMBSSurface area of the aneurysm’s minimal bounding sphere0.305
Closed surface area, mm2AclosedSurface area of the neck-closed aneurysm0.283
Volume, mm315VVolume of the neck-closed aneurysm0.392
Convex hull volume, mm315VCHVolume of the aneurysm’s convex hull0.399
Minimal bounding sphere volume, mm333VMBSVolume of the aneurysm’s minimal bounding sphere0.451
NeckMinimum neck diameter, mm17Dneck,minMinimum distance between two opposite points on the neck perimeter0.306
Maximum neck diameter, mm34Dneck,maxMaximum distance between two points on the neck perimeter0.348
Neck perimeter, mm19PneckPerimeter of the aneurysm neck0.374
Equivalent neck diameter, mm19Dneck,equivHydraulic diameter of the aneurysm neck0.276
Neck area, mm219AneckArea of the aneurysm neck0.593
Elliptical neck area, mm2Aneck,ellipticalNeck area calculated as the product of the minimum and maximum neck diameter0.650
Non-dimensionalAspect ratio34ARRatio of height to maximum neck diameter0.293
Equivalent aspect ratio19eARRatio of height to equivalent neck diameter0.326
Bottleneck factor19BFRatio of maximum diameter to maximum neck diameter0.201
Bulge location19BLRatio of bulge height to height0.301
Nonsphericity index15NSINormalised ratio of volume to surface area relative to a hemisphere0.108
Aneurysm volume to bounding sphere volume33AVSVRatio of volume to minimal bounding sphere volume0.173
Aneurysm surface area to bounding sphere area33AASARatio of surface area to minimal bounding sphere surface area0.095
Undulation index15UI1 minus the ratio of volume to convex hull volume0.709
Ellipticity index15EINormalised ratio of convex hull volume to convex hull surface area relative to a hemisphere0.051
CurvatureMean of mean curvature, mm−119MAASurface average of local mean curvature0.136
Mean of absolute mean curvature, mm−1absMAASurface average of the magnitude of the local mean curvature0.133
SD of mean curvature, mm−1MSDSD of the local mean curvature1.011
High mean curvature, %33HMCRelative increase of the mean of absolute mean curvature over the mean curvature of the minimal bounding sphere0.396
L2-norm of mean curvature19MLNScale invariant measure of surface irregularity, uses mean curvature0.150
Mean of Gaussian curvature, mm−219GAASurface average of local Gaussian curvature0.344
Mean of absolute Gaussian curvature, mm−2absGAASurface average of the magnitude of the local Gaussian curvature0.485
SD of Gaussian curvature, mm−2GSDSD of the local Gaussian curvature1.798
High Gaussian curvature, %33HGCRelative increase of the mean of absolute Gaussian curvature over the Gaussian curvature of the minimal bounding sphere0.822
L2-norm of Gaussian curvature19GLNScale invariant measure of surface irregularity, uses Gaussian curvature0.545

  • Note that terminology and implementation in the references might differ subtly. Derived and modified from tables 1–5 from Goubergrits et al,14 used under Creative Commons Attribution License (CC BY 4.0). The CC BY 4.0 license text is available at https://creativecommons.org/licenses/by/4.0/.

  • MRU, median relative uncertainty.