Compute the principal axes bounding box of a point cloud.
8 Menu: ComputationalCAD Principal axes bounding box
7 Command entry: CC:HULL:PABB
Select at least four non-coplanar points for which to compute the principal axes bounding box.
The principal axes bounding box is the bounding box along the principal axes of inertia of the 3d convex hull of the point cloud. Along these axes, the minimum extents of the convex hull define the extents of the bounding box.
In a general case, the principal axes bounding box is a very tight bounding box of a point cloud. However, tighter bounding boxes may exist. The quality (tightness) of the principal axes bounding box is the better the more distinct the values of the mass moment of inertia are. In contrast, the principal axes bounding box may be very poor for example for a cube, which has the same mass moment of inertia about its centre for any axis.
Figure 47: Principal axes bounding box and convex hull of 195 points
Command line prompt:
Principal axes bounding box properties:
Width : 695.3335
Length : 2144.3264
Height : 730.5104
Volume : 1089207088.4633
Center : (2619.7359, 1095.8920, 0.0000)
First basis vector : (1.0000, 0.0000, 0.0000)
Second basis vector: (0.0000, 1.0000, 0.0000)
Third basis vector : (0.0000, 0.0000, 1.0000)
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