Overview
The Affine class represents an affine transform. An affine
transform performs a linear mapping from 2D/3D coordinates to other 2D/3D
coordinates while preserving the "straightness" and "parallelness"
of lines.
Affine transformations can be constructed using sequences rotations,
translations, scales, and shears.
Note: application developers should not normally use this class directly,
but instead use the specific Translate, Scale,
Rotate, or Shear transforms instead.
Such a coordinate transformation can be represented by a 3 row by
4 column matrix. This matrix transforms source coordinates (x,y,z)
into destination coordinates (x',y',z') by considering
them to be a column vector and multiplying the coordinate vector
by the matrix according to the following process:
[ x'] [ mxx mxy mxz tx ] [ x ] [ mxx * x + mxy * y + mxz * z + tx ]
[ y'] = [ myx myy myz ty ] [ y ] = [ myx * x + myy * y + myz * z + ty ]
[ z'] [ mzx mzy mzz tz ] [ z ] [ mzx * x + mzy * y + mzz * z + tz ]
[ 1 ]
Profile: common
Variable Summary
| access | name | type | Can Read | Can Init | Can Write | Default Value | description |
|---|---|---|---|---|---|---|---|
| public | mxx | Number |  | | | 1.0 |
Defines the X coordinate scaling element of the 3x4 matrix. |
| public | mxy | Number | | | | 0.0 |
Defines the X coordinate shearing element of the 3x4 matrix. |
| public | mxz | Number | | | | 0.0 |
Defines the XZ element of the 3x4 matrix. |
| public | myx | Number | | | | 0.0 |
Defines the Y coordinate shearing element of the 3x4 matrix. |
| public | myy | Number | | | | 1.0 |
Defines the Y coordinate scaling element of the 3x4 matrix. |
| public | myz | Number | | | | 0.0 |
Defines the YZ element of the 3x4 matrix. |
| public | mzx | Number | | | | 0.0 |
Defines the ZX element of the 3x4 matrix. |
| public | mzy | Number | | | | 0.0 |
Defines the ZY element of the 3x4 matrix. |
| public | mzz | Number | | | | 1.0 |
Defines the Z coordinate scaling element of the 3x4 matrix. |
| public | tx | Number | | | | 0.0 |
Defines the X coordinate translation element of the 3x4 matrix. |
| public | ty | Number | | | | 0.0 |
Defines the Y coordinate translation element of the 3x4 matrix. |
| public | tz | Number | | | | 0.0 |
Defines the Z coordinate translation element of the 3x4 matrix. |