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1.2. OVERVIEW OF THE TRANSFORMATION PROBLEM SPACE 3<br />
Joint 3<br />
Link 4<br />
Link 3<br />
Joint 2<br />
Joint 1<br />
Link 2<br />
Link 1<br />
Figure 1.3: Abstract robot model consisting of links and joints.<br />
If collision avoidance should be done by using the laser scanner on the arm, the laser scan captured<br />
in the laser_frame must be transformed into the base_frame. This includes all single<br />
transformations in the branch from the base to the laser and is called a transformation chain (tf chain).<br />
A tf chain always consists of all transformations which have to be applied to get from one frame to<br />
another frame.<br />
Figure 1.4: General tf tree.<br />
The links between two frames can be divided into two categories. There are static frames and<br />
dynamic frames. Synonymously it could also be said, that the transformations are static or dynamic.<br />
Static frames, like the name says, are always fixed and do not change over time. The quality of the<br />
transformation is of course also static and does not change. In contrast thereto, dynamic frames have