Rotation around a tilted axis.

  • Thread starter cake21
  • Start date
  • #1
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I am writing a little code that should make an object revolve around a tilted axis.

Here is what I have:
-The center coordonates
-A normal array (3 numbers between 0 and 1);
-position of the object.

Is there a way to do this?

I think:
http://en.wikipedia.org/wiki/Rodrigues'_rotation_formula
Should be it , but I can't work out how to use it. Does the formula return an array?
 

Answers and Replies

  • #2
Stephen Tashi
Science Advisor
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I can't work out how to use it. Does the formula return an array?
Which formula in that article are you talking about?

If you want a conceptually simple way of doing it, consider this:

Do you know how to write code that would change from one coordinate system to another? If you change coordinates so that the "center" of the rotation becomes the origin in the new coordinate system and the axis of rotation becomes the z-axis in the new coordinates system then you can apply the formula for rotating an object about the z-axis. Get the coordinates of interest in the new coordinate system and then transfer those coordinates back to the original coordinate system.

I've read articles by people who do computer animation that say that using quaterions is the best way to deal with the motion of objects. Are you doing animation?
 
  • #3
chiro
Science Advisor
4,790
132
I am writing a little code that should make an object revolve around a tilted axis.

Here is what I have:
-The center coordonates
-A normal array (3 numbers between 0 and 1);
-position of the object.

Is there a way to do this?

I think:
http://en.wikipedia.org/wiki/Rodrigues'_rotation_formula
Should be it , but I can't work out how to use it. Does the formula return an array?
Hey cake21 and welcome to the forums.

One method you might want to consider is to use quaternions and then after you computer the final output quaternion, convert it to a linear transformation (matrix) and then apply that matrix to the points you need to do.

The reason why I recommend this is because if you want to multiple rotations, or some something like rotation interpolations, quaternions are probably the best way of doing this, and building a quaternion library is not a hard thing to do either.
 

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