Figure 4.

Total radial acetabular bone loss (TrABL) graphs. (a) and (b) Obtained by intersecting the reconstructed and deficient (patient) bone mesh, respectively. The grid being obtained from a unit sphere located at the center of the reconstructed acetabulum folded open into a planar grid (formulas (1) to (2)). The proportion of the surface area of both colored surfaces (uniform grey and blue) is denoted the TrABL ratio (see formula (3)). (c) Overlay view of (a) and (b), with a color range for the calculated Euclidean distance deviations applied to (b). This is the TrABL color graph. For this paper, a color range from 0 mm (green) to 10 mm or higher (dark red) is adopted. (Note: a moderate sampling rate of 25 × 25 sphere points is applied to generate these figures, to enable clear interpretation.)