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15
votes
2answers
2k views

Fast Spherical Linear Interpolation of list of quaternions

An accurate way to interpolate between two quaternions is to use Spherical Linear Interpolation (Slerp) because it preserves the unit length, whereas straightforward linear interpolation does not, as ...
9
votes
1answer
88 views

Bug in Mathematica 9 (Quaternion)

The code: << Quaternions`; Exp[Quaternion[1, 0, 0, 0]] produces an error: ...
7
votes
1answer
841 views

Octonions in Mathematica

Is there a package or Notebook for Mathematica that can enable me to do some numerical calculations with octonions? Maybe a way to plug-in the octonion multiplication table?
5
votes
1answer
433 views

command to expand quaternion multiplication

Is there are any command to expand quaternion multiplication as below STEP by STEP. Below is equation from my text. I'm self learner and for some reason I can't wrap my head around quaternion ...
5
votes
1answer
134 views

Evaluating standard functions of general quaternions symbolically

Mathematica can easily compute exponentials and logarithms of concrete quaternions: ...
4
votes
2answers
252 views

Getting Values From Quaternions

I'm using the Quaternion package: << Quaternions` Very simply, I would like to be able to get the individual components of the quaternions by themselves. ...
3
votes
1answer
231 views

FromQuaternion and QuaternionQ not working symbolically?

How can I get Mathematica to work with quaternions symbolically? I want to do some quaternion math without defining the actual coefficients, and then extract the coefficients from the resulting ...
2
votes
1answer
606 views

Rotation matrix $\to$ quaternion

I found a very good link about quaternions in Mathematica , but I don't know how to create a quaternion from a rotation matrix. Can anyone help me, please? Update I need this: A rotation may be ...
2
votes
1answer
115 views

Program to demonstrate rotation according to quaternion values

On the Wolfram|Alpha website, I type quaternion(1,1,1,1) into the search field. Wolfram|Alpha shows a 3D transformation of the quaternion values representing the orientation of an object. I have 9 ...
2
votes
0answers
125 views

Animate FromQuarternionTo3DRotation nb file with 4 quarternion values

I have a csv file. Inside the csv file, there are few rows of 4 quartenion values. I would like to animate the quarternion nb in http://demonstrations.wolfram.com/FromQuaternionTo3DRotation/ I ...
1
vote
1answer
306 views

How to work with quarternions in Wolfram Mathematica? [closed]

How can I write the insructions from this link http://blog.wolframalpha.com/2011/08/25/quaternion-properties-and-interactive-rotations-with-wolframalpha/ in Mathematica to obtain the same result? ...
1
vote
0answers
66 views

Quaternion calculation [closed]

Quaternion[0, Cos[Pi/20]/Sqrt[2], Sin[Pi/20]/Sqrt[2], 0] ** Quaternion[0, 1, 0, 0] ** Quaternion[0, -Cos[Pi/20]/Sqrt[2], -Sin[Pi/20]/Sqrt[2], 0] this should ...
0
votes
0answers
41 views

How can I get a list of the “coefficients” of Quaternion[1, 2, 3, 4]? [duplicate]

I want to input: Quaternion[1, 2, 3, 4] to get a list: {1,2,3,4}.
0
votes
0answers
85 views

Log of a Quaternion

My mathematica Input[In] code: ***q = Quaternion[0.1, 0.2, 0.3, 0.4] t=Log[q] QuaternionQ[t]*** Resepective results[Out] from Mathematica 9.0: ...
-5
votes
2answers
227 views

Output of mathematica. Quaternion to Matrix [closed]

If I have the following instructions: How will it be the output/how will it appears in Mathematica? something like this: I can't recognize the output in mathematica... How can I do to appear ...