Table 6.299 — DRM_World_3x3

Property

Description

Class

  • <DRM World 3x3>

Superclass

Subclass

  • None.

Definition

An instance of this DRM class specifies a nine element matrix containing scaling and rotation data as part of a <DRM World Transformation>. The direction of rotation is determined by the right-hand rule.

Translation data is not provided by a <DRM World 3x3>, because a <DRM World 3x3> instance only exists as part of a <DRM World Transformation>. The translation, or offset, component of a <DRM World Transformation> is provided by the mandatory <DRM Location> component of the <DRM World Transformation>. In essence, a <DRM World 3x3> matrix can be considered to be a full transformation matrix in which the rightmost column and bottom row have been omitted, because each is implicitly (0, 0, 0, 1).

<DRM World Transformation> instances usually exist in the scope of an <DRM Environment Root> defining a non-LSR spatial reference frame. Consequently, <DRM World 3x3> instances usually exist within a 'world' spatial reference frame, hence the name.

The matrix multiplication order is defined by w = M * v, where M is the <DRM World 3x3> matrix, v is the original location vector, and w is the resulting location vector.

Class diagram

Figure 6.359 — DRM_World_3x3

Inherited field elements

Field name

Range

Field data type

None

   

Field elements

Field name

Range

Field data type

world_3x31

 

Matrix_3x3

Associated to (one-way) (inherited)

  • None.

Associated to (one-way)

  • None.

Associated by (one-way) (inherited)

  • None.

Associated by (one-way)

  • None.

Associated with (two-way) (inherited)

  • None.

Associated with (two-way)

  • None.

Composed of (two-way) (inherited)

  • None.

Composed of (two-way)

Composed of (two-way metadata) (inherited)

  • None.

Composed of (two-way metadata)

  • None.

Component of (two-way) (inherited)

  • None.

Component of (two-way)

Constraints

Clarifications

1 This is an orientation matrix.

Example(s)

  • Scale and rotation applied to a <DRM Model> when placing an instance.

  • ,P> The house near Dixie Road is facing east. The large house across the street is facing west.

  • See <DRM Local 4x4> for more examples and explanations of matrix structure.