Transformation2D
A Transformation2D is used to position an object in 2D space (e.g. on a drawing).
It consists of a reference to a CartesianPoint2D as origin and a 2 ⨯ 2 matrix a. The matrix is given by the attributes [a11...a22], with the numbers representing the index of the matrix element aij where i is the row and j the column index of the matrix.
To place an object with a Transformation2D its origin is translated in space to the CartesianPoint2D origin and every point P = (x,y) of the object is transformed to P' by applying the matrix multiplication: P'= a · P
With a suitable definition of the transformation matrix, a wide variety of geometric operations can be mapped. Which of these operations are permissible depends on the respective application and cannot be defined in general terms. For example, scaling and mirroring are probably not permissible operations when creating drawings in true scale.
General Information
| Attribute | Value |
|---|---|
| Owner | geo_2d |
| Applied Stereotype | |
| Base Classifier | ExtendableElement |
| Is Abstract | false |
| Derived Classifiers |
Attributes
| Name | Type | Mult. | Description | Owning Classifier |
|---|---|---|---|---|
| a11 | Double | 1 | Transformation2D | |
| a12 | Double | 1 | Transformation2D | |
| a21 | Double | 1 | Transformation2D | |
| a22 | Double | 1 | Transformation2D |
Outgoing Relations
| Other End | This End | General | |||||
|---|---|---|---|---|---|---|---|
| Role | Type | Mult. | Agg. | Unique | Ordered | Mult. | Description |
| origin | CartesianPoint2D | 1 | N | Y | N | 0..* | References the CartesianPoint2D that is the origin of the Transformation2D. |
Incoming Relations
| This End | Other End | General | |||||
|---|---|---|---|---|---|---|---|
| Role | Mult. | Agg. | Unique | Ordered | Type | Mult. | Description |
| orientation | 0..1 | Y | Y | N | OccurrenceOrUsageViewItem2D | 1 | Specifies the orientation of the view item. |
| orientation | 0..1 | Y | Y | N | NetworkNodeViewItem | 1 | Specifies the position / placement of the NetworkNodeViewItem within the layout. |
| orientation | 0..1 | Y | Y | N | ConnectionNodeViewItem | 1 | Specifies the position / placement of the ConnectionNodeViewItem within the layout. |
| orientation | 0..1 | Y | Y | N | ComponentNodeViewItem | 1 | Specifies the position / placement of the ConnectionNodeViewItem within the layout. |