Transformations
Speaking of GST
-Transformations we refer e.g. to rotations or to zero-point-shifts.
The relation between the MCS (machine coordinate system) and the PCS (program coordinate system) is defined by the effective transformation T. T is the concatenation of the transformations TZ, TU and TT (T = TZ * TU * TT). Note that the order of concatenation is significant for the transformations do not commute in general. The transformation TZ represents a (historical) zero offset shift, the transformation TU represents a user defined transformation and the transformation TT represents a tool transformation. They are described in detail later.
Figure “TransformationsTzTuTt” visualizes the relation between the MCS (machine coordinate system) and the PCS (program coordinate system):
- TZ is defined to be a translation by
[20,20,0]
, - TU is a combination of the translation
[30,-10,0]
, followed by a rotation by45
degree around theZ
-axis, - TT is a translation by
[0,-10,0]
.
Figure “TransformationsTzTuTt”.