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AlexanderFabisch committed Sep 30, 2024
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Expand Up @@ -6,6 +6,9 @@ Introduction to 3D Rigid Transformations
Basics
------

Following Waldron and Schmiedeler [1]_, we define the basic terms that we use
throughout this user guide.

.. list-table::
:widths: 15 35 15 35

Expand Down Expand Up @@ -53,6 +56,10 @@ its frame) is always expressed with respect to another frame.
Frame Notation
--------------

Notation is important for describing and understanding of physical quantities
in 3D. Furgale [2]_ [3]_ presents one of the most consistent and clear
approaches and we use it here.

For physical quantities we use the notation :math:`_{A}\boldsymbol{x}_{BC}`,
where :math:`\boldsymbol{x}` is a physical quantity of frame C with
respect to frame B expressed in frame A. For example,
Expand Down Expand Up @@ -149,8 +156,16 @@ representations on the following pages.
References
----------

1. Waldron, K., Schmiedeler, J. (2008). Kinematics. In: Siciliano, B., Khatib,
.. [1] Waldron, K., Schmiedeler, J. (2008). Kinematics. In: Siciliano, B., Khatib,
O. (eds) Springer Handbook of Robotics. Springer, Berlin, Heidelberg.
https://doi.org/10.1007/978-3-540-30301-5_2
2. Representing Robot Pose: The good, the bad, and the ugly (slides): http://static.squarespace.com/static/523c5c56e4b0abc2df5e163e/t/53957839e4b05045ad65021d/1402304569659/Workshop+-+Rotations_v102.key.pdf
3. Representing Robot Pose: The good, the bad, and the ugly (blog): http://paulfurgale.info/news/2014/6/9/representing-robot-pose-the-good-the-bad-and-the-ugly
.. [2] Furgale, P. (2014). Representing Robot Pose: The good, the bad, and the
ugly (slides). In What Sucks in Robotics and How to Fix It: Lessons Learned
from Building Complex Systems (ICRA workshop). Note: these slides seem to be
lost, but the blog below conveys the same message.
http://static.squarespace.com/static/523c5c56e4b0abc2df5e163e/t/53957839e4b05045ad65021d/1402304569659/Workshop+-+Rotations_v102.key.pdf
.. [3] Furgale, P. (2014). Representing Robot Pose: The good, the bad, and the
ugly (blog).
https://web.archive.org/web/20220420162355/http://paulfurgale.info/news/2014/6/9/representing-robot-pose-the-good-the-bad-and-the-ugly

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