Unverified Commit 126e7de8 authored by Sanjay Salem's avatar Sanjay Salem Committed by GitHub
Browse files

clarify p and p(theta)

parent f29dd5ce
...@@ -78,6 +78,8 @@ Where: ...@@ -78,6 +78,8 @@ Where:
* <img src="task2_media/0075.png" style="height:24px"> is the axis of rotation * <img src="task2_media/0075.png" style="height:24px"> is the axis of rotation
* <img src="task2_media/0076.png" style="height:24px"> is the vector from the base of joint <img src="task2_media/0077.png" style="height:24px"> to the end point of the target joint * <img src="task2_media/0076.png" style="height:24px"> is the vector from the base of joint <img src="task2_media/0077.png" style="height:24px"> to the end point of the target joint
Note that <img src="task2_media/0076.png" style="height:24px"> and <img src="task2_media/0054.png" style="height:24px"> (from above) are not the same!
For a more in-depth derivation of Jacobian transpose (and a look into other inverse kinematics algorithms), please check out [this presentation](https://web.archive.org/web/20190501035728/https://autorob.org/lectures/autorob_11_ik_jacobian.pdf). (Pages 45-56 in particular) For a more in-depth derivation of Jacobian transpose (and a look into other inverse kinematics algorithms), please check out [this presentation](https://web.archive.org/web/20190501035728/https://autorob.org/lectures/autorob_11_ik_jacobian.pdf). (Pages 45-56 in particular)
Now, all of this will work for updating the angle along a single axis, but we have 3 axes to deal with. Luckily, extending it to 3 dimensions isn't very difficult, we just need to update the angle along each axis independently. Now, all of this will work for updating the angle along a single axis, but we have 3 axes to deal with. Luckily, extending it to 3 dimensions isn't very difficult, we just need to update the angle along each axis independently.
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