- Bounding volume
box is aligned with the axes of the co ordinate system, and it is then known as an axis aligned ... the other object along the principal axes of the ellipsoid by an amount equal to the multiplicative ... axes, and are otherwise constrained to move by translation only. Two vertical axis aligned cylinders ... do not intersect. Usually the axes plural of axis is axes, per Webster checked are those of the basic axes for the volumes the unit axes in the case of an AABB, or the 3 base axes from each OBB in the case of OBBs . Often, this is followed by also checking the cross products of the previous axes one ... of the unit axes. For an AABB defined by M,N against one defined by O,P they do not intersect ... as above, and with I, J, and K as the OBB s base axes, then br math r 0.5L x N I 0.5L y N J 0.5L ... not intersect if m p or o n. Thus, by projecting the ranges of 2 OBBs along the I, J, and K axes ... checking along the cross products of these axes I sub 0 sub I sub 1 sub , I sub 0 sub J sub ... of each polyhedral face being used instead of the base axes, and with the extents being based on the minimum and maximum dot products of each vertex against the axes. Note that this description assumes ... more details
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