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Mechanical Systems  / Function Index  /
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EulerInverse
2D/3D

• EulerInverse[epars] returns a list of two (2D) or four (3D) Euler parameters corresponding to the inverse of the rotation represented by epars. The function of EulerInverse is analogous to the inversion of a rotation matrix.

• EulerInverse simply negates all terms but the first in the list of Euler parameters.
• See also:
EulerMultiply, EulerParameters.

Further Examples

Load the Modeler3D package.

In[1]:=

Here are a pair of arbitrary rotations about arbitrary axes. They can be converted to Euler parameters or rotation matrices and multiplied, and then converted back to rotations with the same result.

In[2]:=
In[4]:=
Out[4]=
Out[5]=
In[6]:=
Out[6]=
Out[7]=

However, multiplying Euler parameters is computationally inexpensive.

In[8]:=
Out[8]=

The inversion of a rotation matrix (which is equivalent to transposing the matrix) is analogous to negating all but the first Euler parameter.

In[9]:=
Out[9]=
In[10]:=
Out[10]=
In[11]:=
Out[11]=
In[12]:=
Out[12]=
In[13]:=


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