Abstract:Objective To demonstrate the relationship between modified Hausdorff distance (MH) and the spatial change of arterial vasculature in residuum. Methods Data of the vascular model were obtained from CT scans of clinical cases, and a centerline model of the residuum vasculature was established by setting the appropriate parameter of distance between control points (DCP) in MIMICS 10.0. Deformation was applied on the model through compiling the program in MATLAB. The MH values before and after the deformation were calculated and analyzed. According to different locations of the rotation axis, the deformation was divided into four cases (C1, C2, C3, C4) on the basis of growth order in node numbers and total length of the vasculature. Results MH increased with the increment of the vascular rotation angle, but due to different maximum rotation radius and total length of the vascular vessel, 4 deformed models showed different growth trends. With the rotation angle increasing, MH gradually increased from C1 to C4. The maximum change occurred from C2 to C3, and minimal change occurred from C3 to C4. Specifically, the maximum rotation radius and total length of the vessels from C1 to C2 increased by 22.2% and 91.3%, while those from C3 to C4 increased by 14.1% and 26.8%, respectively. Moreover, the maximum change of MH value was 60.4% from C1 to C2 and 4.5% from C3 to C4. Conclusions MH can be an effective parameter to indicate spatial change of the residuum vasculature. MH of the residuum vasculature is proportional to deformation angle of the vessel, and the maximum rotation angle has a significant influence on MH. Moreover, when DCP is smaller than 3 mm, the influence of parameter setting can be avoided effectively. In addition, MH can also be applied in the studies of vasculature change and comparison.