Class Name: Parallelepiped Volume Extent

Superclass - Volume Extent

Definition

Specifies the length and directions of the edges of a parallelepiped volume relative to an unspecified location for the volume center.

Primary Page in DRM Diagram:

• 23

Example

1. A Bounding Volume for a building will have a Parallelepiped Volume Extent with:
   edge_length[0]=width, first Reference Vector points to the right,
   edge_length[1]=depth, second Reference Vector points to the back, and
   edge_length[2]=height, third Reference Vector points up.
   

FAQs

Given the location of the center, how do I compute the eight corners of the parallelepiped?

If V1, V2, and V3 are the three Reference Vector components and L0 is the Location 3D of the Volume, then the vector equation for a parallelepiped corner C is given by:
C = L0+(+/-0.5)*edge_length[0]*V1 +(+/-0.5)*edge_length[1]*V2 +(+/-0.5)*edge_length[2]*V3
The eight combinations of three (+/-0.5) coefficients give eight corners.

Given the three edges emanating from a corner of a parallelepiped, how do I compute edge lengths and Reference Vectors?

If C0 is the corner location and C[i] is the corner at the other end edge i, then:
edge_length[i-1] = length of vector ( C[i]-C0 )
and the i-th reference vector is (1/edge_length[i-1])*(C[i]-C0) for i=1,2,3.

Constraints

Composed of (one-way)

• exactly (3) {ordered} Reference Vectors (notes)

Component of (one-way)(inherited)

• optionally, some Volumes
• optionally, some Volume Level of Detail Data
• optionally, some Volume Light Behaviors

Field Elements

Notes

Composed of Notes

Reference_Vector

edge directions

 First component has
   <Reference Vector> type = SE_PARALLELEPIPED_EDGE_DIRECTION_1
 Second component has
   <Reference Vector> type = SE_PARALLELEPIPED_EDGE_DIRECTION_2
 Third component has
   <Reference Vector> type = SE_PARALLELEPIPED_EDGE_DIRECTION_3

Fields Notes

edge_length

in meters > 0.0