| | Describes a bounding box in 3D space.
A bounding box is parallel to the axes of the coordinates
system. If it is finite, it is defined by the three intervals:
- [ Xmin,Xmax ],
- [ Ymin,Ymax ],
- [ Zmin,Zmax ].
A bounding box may be infinite (i.e. open) in one or more
directions. It is said to be:
- OpenXmin if it is infinite on the negative side of the "X Direction";
- OpenXmax if it is infinite on the positive side of the "X Direction";
- OpenYmin if it is infinite on the negative side of the "Y Direction";
- OpenYmax if it is infinite on the positive side of the "Y Direction";
- OpenZmin if it is infinite on the negative side of the "Z Direction";
- OpenZmax if it is infinite on the positive side of the "Z Direction";
- WholeSpace if it is infinite in all six directions. In this
case, any point of the space is inside the box;
- Void if it is empty. In this case, there is no point included in the box.
A bounding box is defined by:
- six bounds (Xmin, Xmax, Ymin, Ymax, Zmin and
Zmax) which limit the bounding box if it is finite,
- eight flags (OpenXmin, OpenXmax, OpenYmin,
OpenYmax, OpenZmin, OpenZmax,
WholeSpace and Void) which describe the
bounding box if it is infinite or empty, and
- a gap, which is included on both sides in any direction
when consulting the finite bounds of the box.
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1.6.3