Quaternions with symbolic elements

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Bandar
Bandar 2022년 2월 1일
답변: Bruno Luong 2024년 11월 5일
I'm trying to create quaternion number that contains symbolic elements but Matlab throws an error.
syms a
d=quaternion(1,2,3,a)
This is the error I get
All inputs to the quaternion constructor must be the same class (double or
single).
  댓글 수: 1
James Tursa
James Tursa 2022년 2월 1일
편집: James Tursa 2022년 2월 1일
What do you intend to do with these symbolic quaternions downstream in your code? It would be pretty easy to write your own basic functions such as add, subtract, multiply, conjugate, inverse, etc. But if you intend to convert them to other forms such as direction cosine matrix or Euler angles then you will run into major difficulties.

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Chris
Chris 2022년 2월 1일
The error says it all. It looks like symbolic variables aren't supported for quaternions. You might try a third-party toolbox:

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Bruno Luong
Bruno Luong 2024년 11월 5일
Work around is use 2 x 2 (symboloc) complex matrix to do quaternion computation https://en.wikipedia.org/wiki/Quaternion#Matrix_representations

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