Sampling frame analysis of the vascular cross-sections (CRSs) and bifurcations (BIFs) for cerebral vascular tree reconstruction. (A) Superposition. Two-dimensional snapshots containing information of MRA and the reconstructed mesh were captured. (B) Sampling frame acquisition. The software automatically positions the 2D snapshots (gray planes) so that their normals, , are collinear to the centerline velocity vector of a vascular segment. In BIF, the snapshot belongs to the separation plane spanned by separation points Sab, Sbc, Sac of the branches of a-b, b-c, and a-c, respectively. The detailed schematic of the separation region also depicts the control points of C1 and C2, as well as the bifurcation points, B. In total, 119,738 vascular CRSs and 571 BIFs snapshots were automatically created for validation of vascular tree reconstruction. (C) Binary masks and boundary edges of vascular CRSs and BIFs were processed for further statistical analysis.