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Using tangent direction to dictate quaternions.

June 23, 2008

Charles

Just a quick theoretical idea – I’ve been thinking that a rotation is basically the reflection or product of a direction indirectly or directly controlled by its spin.  This seems simple to understand in theory but in practice its more complex. Im coming to terms that rotation is really an illusion of a direction or a side product.

Thinking about this more in my notes, we can hypothesize that if a rotation is really just a direction, then we can seperate it into two parts: the direction and the spin and more importantly have direction controlled by anything, namely the tangent of a spline or curve. This seems amazingly simple now, the curviture of a spline dictating the direction of a quaternion about a hemisphere. But detaching yourself to thinking this way is really hard.

In this way we can treat the wrist and spine articulation the same – the spin (or twist in the conventional sence) is just used to dictate the direction of the system, with a spine you’d use the tangent of the curve itself,  with the wrist the hand  is the direction.

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3 Comments

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  1. calvin #
    July 31, 2008

    Most of the stuff in the blog is not new or revolutionary. Just the same old stuff, presented in a different way, is all.

    You should come up with original ideas if you are gonna write a blog about these topics.

    Next please.

  2. August 2, 2008

    Very nice!!

  3. August 3, 2008

    Calvin,

    Who said I was trying to be revolutionary? – My blog is just an area for my ideas and notes. Also its just theoretical mostly – other than NDA stuff. Also with the idea above your still left with the problem of reference space – something that i still find tricky to work out.

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