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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

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