Accumulation of the displacement data among several patients. “Pre-treatment CTA coordinate system (PCS)” was set in data set 1. P0 and P1 stand for the models of the bones or bifurcation points of CA. The position and orientation parameter Tl for moving from P0 to P1 was obtained in PCS. The transformation matrix TPCS→SCS was calculated to create the standardized coordinate system (SCS) from the principal axes of inertia of the maxillofacial model. Here, TmA,B… = TPCS→SCS TlA,B…TPCS→SCS
−1. The calculated TmA,B… represents the position and orientation of bone and artery models when TlA,B… was transformed to SCS.