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Acknowledgements<br />
I like to thank everyone who directly or indirectly contributed to this work.<br />
First of all, I gratefully thank my thesis adviser Prof. Dr. Christian Schlegel for the opportunity<br />
to work in the ZAFH Servicerobotik the last years. I found it to be an interesting research area and<br />
I have learned a lot during this time. He gave me the chance to do this thesis on coordinate frame<br />
transformations in robotics and helped me to keep the focus in my research.<br />
I would also like to thank Prof. Dr. Klaus Baer, who spontaneously agreed to act as co-adviser for<br />
my thesis.<br />
Furthermore, special thanks go to my colleagues at the ZAFH Servicerobotik at the University<br />
of Applied Sciences Ulm for many fruitful discussions and the encouragement to do this work on<br />
transformations. In particular, I want to thank Siegfried Hochdorfer who helped we with some math<br />
and always had an open ear for questions.<br />
Further, I want to thank my family and friends for supporting me during this work. Special<br />
thanks go to my long-suffering wife Claudia for her patience in the last year, when I spent nights and<br />
weekends at the study desk. Especially in the last weeks she relieved me of many of my everyday<br />
duties. Finally, eternal thanks to my God and Savior, Jesus Christ.<br />
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