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Offline Razonar  
#1 Posted : 10 October 2018 03:29:00(UTC)
Razonar


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From: https://en.smath.info/forum/yaf_postsm54527_AlgLib-3-1x.aspx#post54527

Hi Ber7. Thanks for the angles, which gives this beatifull view point!

Originally Posted by: Ber7 Go to Quoted Post
Your error may be caused by the use of the left coordinate system in Smath- graphs.


Using SMath convention for axis it's very difficult to me, and also add the fact that in Latin America we use this as Euler angles:

https://es.wikipedia.org...ki/%C3%81ngulos_de_Euler

Clipboard01.gif

In the attached, I can invert emulating the matlab robots toolbox's rotm2eul.m function, but notice that I need to swap the product order to get the same matrix with those angles that I obtain first.

Clipboard01.gif

So, I don't sure now if we are doing the rotations ok taking Ω1*Ω2*Ω3 or, for SMath, the correct order is Ω3*Ω2*Ω1, and this swap is the math meaning for "left coordinate system".

rotm2eul.sm (84kb) downloaded 35 time(s).

Best regards.
Alvaro.
thanks 3 users thanked Razonar for this useful post.
on 10/10/2018(UTC),  on 10/10/2018(UTC),  on 10/10/2018(UTC)

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Offline Jean Giraud  
#2 Posted : 10 October 2018 20:53:22(UTC)
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Originally Posted by: Razonar Go to Quoted Post
So, I'm not sure now if we are doing the rotations ok taking Ω1*Ω2*Ω3 or, for SMath, the correct order is Ω3*Ω2*Ω1, and this swap is the math meaning for "left coordinate system".


Euler traditional [Roll, Pitch, Yaw] is not commutative once angles are defined.
Some 3D solids will show convenient in any of the possible 3! = 6 commutative.

Cheers ... Jean

Rotate Euler NOT Commutative.sm (17kb) downloaded 37 time(s).
thanks 2 users thanked Jean Giraud for this useful post.
on 10/10/2018(UTC),  on 10/10/2018(UTC)
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