Chasles' theorem

  • Thread starter hunt_mat
  • Start date
  • #1
hunt_mat
Homework Helper
1,745
26
Suppose I have an element of [itex]SE(3)[\itex]. I know this can be thought of as a translation along an axis and rotation about that axis due to Chasles theorem.

My question is simple: How do I go about computing the axis, length of the translation, angle of the rotation and radius of the rotation?

It sounds as if it could be rather algorithmic but for the life of me I can't seem to find much information on it.
 

Answers and Replies

  • #3
hunt_mat
Homework Helper
1,745
26
Sort of. I will have a look. What I wanted ideally was something which would give me an algorithm to computing them.
 
  • #4
15,095
12,768
An algorithm heavily depends on an accurate definition of the input.
To be honest I haven't found and don't know about the Chasles' theorem. There have been several related formulations and connected theorems (e.g. Euler). The only advantage I might have had is to search in an additional language. E.g. I found an article from Zurich but it was plenty of wording and only few formulas.
 

Related Threads on Chasles' theorem

  • Last Post
Replies
1
Views
5K
  • Last Post
Replies
18
Views
6K
  • Last Post
Replies
0
Views
2K
  • Last Post
Replies
5
Views
2K
  • Last Post
Replies
9
Views
2K
  • Last Post
Replies
6
Views
3K
  • Last Post
Replies
3
Views
11K
  • Last Post
Replies
3
Views
1K
  • Last Post
Replies
4
Views
2K
  • Last Post
Replies
1
Views
2K
Top