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Topic: Rotation between two coordinate systems
Replies: 2   Last Post: Jan 8, 2009 8:34 PM

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Dave Rudolf

Posts: 37
Registered: 10/3/05
Re: Rotation between two coordinate systems
Posted: Jan 8, 2009 8:34 PM
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On Jan 2, 4:37 pm, Mariano Suárez-Alvarez
<mariano.suarezalva...@gmail.com> wrote:
> On Jan 2, 9:59 pm, dave.rud...@usask.ca wrote:
>

> > Hey all,
>
> > Suppose I have orthonormal bases, i.e., each basis B consists of three
> > unit vectors vx, vy, vz, that are orthogonal to each other. I want to
> > find the rotation R between two bases B1 and B2, so that

>
> > R vx1 = vx2
> > R vy1 = vy2
> > R vz1 = vz2

>
> > Can anyone point me in the right direction?
>
> Construct matrices A and B such that the columns of A
> are the vectors vx1, vy1, vz1 and the columns of B are
> the vectors vx2, vy2, vz2. Then R = B A^{-1}.
>
> -- m


Awesome. Thanks.



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