Postural Stability Evaluation of Patients Undergoing Vestibular Schwannoma Microsurgery Employing the Inertial Measurement Unit
Table 1
Algorithm for calculation of the total volume of 3-D polyhedron.
(1) Calculate the median of the distribution of ,, and variables, where is (or ), is (or ), and is (or ).
(2) Set the origin of the frame of reference to the median of the distribution.
(3) Convert the Cartesian coordinates of each data point of the three variables measured at the same specific time into spherical coordinates ().
(4) Divide the data into subsets belonging to sectors of the 3-D space predefined by and (see Figure 3).
(5) In each subset of a sector , find the point with its maximum radius value among all points in the subset.
(6) Calculate the volume of each pyramid with one vertex at the origin of the reference frame and four vertices at the points of subsets belonging to four adjacent sectors (see Figure 4).
(7) Calculate the total volume of 3-D polyhedron (see Figure 5).
