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Attributes.
transform nodes are dagNodes that are used to group and transform
other dagNodes. All dagNodes that are not transform nodes in Maya
must exist as a child of some transform node.
Transformation Matrix (DAG)
transform nodes have many attributes that make up the final
transformation matrix as represented by the matrix attribute.
This breakdown provides animators fine control over the animation
of these parameters. Therefore, it is necessary to describe the
order in which these attributes are applied to build the final
matrix attribute.
Note: matrices are post-multiplied in Maya. For example, to transform
a point p from object-space to world-space you would need to
post-multiply by the worldMatrix. (p' = p * wm)
-1 -1
matrix = SP * S * SH * SP * ST * RP * RA * R * RP * RT * T
(where '*' denotes matrix multiplication and '-1' denotes matrix inversion'
SP = | 1 0 0 0 | ST = | 1 0 0 0 |
| 0 1 0 0 | | 0 1 0 0 |
| 0 0 1 0 | | 0 0 1 0 |
| spx spy spz 1 | | sptx spty sptz 1 |
S = | sx 0 0 0 | SH = | 1 0 0 0 |
| 0 sy 0 0 | | shxy 1 0 0 |
| 0 0 sz 0 | | shxz shyz 1 0 |
| 0 0 0 1 | | 0 0 0 1 |
RP = | 1 0 0 0 | RT = | 1 0 0 0 |
| 0 1 0 0 | | 0 1 0 0 |
| 0 0 1 0 | | 0 0 1 0 |
| rpx rpy rpz 1 | | rptx rpty rptz 1 |
RA = AX * AY * AZ
AX = | 1 0 0 0 | AY = | cy 0 -sy 0 |
| 0 cx sx 0 | | 0 1 0 0 |
| 0 -sx cx 0 | | sy 0 cy 0 |
| 0 0 0 1 | | 0 0 0 1 |
AZ = | cz sz 0 0 | sx = sin(rax), cx = cos(rax)
| -sz cz 0 0 | sy = sin(ray), cx = cos(ray)
| 0 0 1 0 | sz = sin(raz), cz = cos(raz)
| 0 0 0 1 |
Rotate:
If the rotationInterpolation attribute specifies quaternion
interpolation, use the following OpenMaya API calls to construct
the matrix:
Mquaternion q( rx, ry, rz, rw )
R = q.asMatrix()
Otherwise, for Euler-angle rotation use:
R = RX * RY * RZ (Note: order is determined by rotateOrder)
RX = | 1 0 0 0 | RY = | cy 0 -sy 0 |
| 0 cx sx 0 | | 0 1 0 0 |
| 0 -sx cx 0 | | sy 0 cy 0 |
| 0 0 0 1 | | 0 0 0 1 |
RZ = | cz sz 0 0 | sx = sin(rx), cx = cos(rx)
| -sz cz 0 0 | sy = sin(ry), cx = cos(ry)
| 0 0 1 0 | sz = sin(rz), cz = cos(rz)
| 0 0 0 1 |
T = | 1 0 0 0 |
| 0 1 0 0 |
| 0 0 1 0 |
| tx ty tz 1 |
| Node name | Parents | Classification | MFn type | Compatible function sets |
|---|
| transform | dagNode | drawdb/geometry/transform | kTransform | kBase
kNamedObject
kDependencyNode
kDagNode
kTransform |
Attributes (109)
The following quick index only shows top-level attributes (too many attributes to show them all): displayHandle, displayLocalAxis, displayRotatePivot, displayScalePivot, dynamics, geometry, inheritsTransform, maxRotLimit (3), maxRotLimitEnable (3), maxScaleLimit (3), maxScaleLimitEnable (3), maxTransLimit (3), maxTransLimitEnable (3), minRotLimit (3), minRotLimitEnable (3), minScaleLimit (3), minScaleLimitEnable (3), minTransLimit (3), minTransLimitEnable (3), rotate (3), rotateAxis (3), rotateOrder, rotatePivot (3), rotatePivotTranslate (3), rotateQuaternion (4), rotationInterpolation, scale (3), scalePivot (3), scalePivotTranslate (3), selectHandle (3), shear (3), showManipDefault, specifiedManipLocation, transMinusRotatePivot (3), translate (3), xformMatrix
