Hi Thomas,

Say, the first system is x and the second y, where y=R(x+s) is the
first transformation. Then the reverse transformation follows as

y   = R(x + s)
y   = Rx + Rs
Rx = y - Rs
x   = t(R)(y-Rs)

Note that that is also equal to: x = t(R)y - s

Hope it helps,

Tsjerk

On Mon, Nov 9, 2009 at 1:09 AM, Thomas Evangelidis <te8...@mbg.duth.gr> wrote:
> Dear pymol users,
>
> I noticed something strange when superimposing 2 opposite pairs of
> chains. E.g.
>
> DEBUG: template  1BQG_A  query  2MUC_A
> Query Transformation:
>         X2 = +0.86747*(X1+2.29751) + -0.49574*(Y1+60.99794) +
> -0.04181*(Z1+64.71239)
>         Y2 = -0.49701*(X1+2.29751) + -0.85983*(Y1+60.99794) +
> -0.11697*(Z1+64.71239)
>         Z2 = +0.02204*(X1+2.29751) + +0.12225*(Y1+60.99794) +
> -0.99226*(Z1+64.71239)
>
>
> DEBUG: template  2MUC_A  query  1BQG_A
> Query Transformation:
>         X2 = +0.86747*(X1+30.95128) + -0.49701*(Y1+61.15895) +
> +0.02204*(Z1+56.70381)
>         Y2 = -0.49574*(X1+30.95128) + -0.85983*(Y1+61.15895) +
> +0.12225*(Z1+56.70381)
>         Z2 = -0.04181*(X1+30.95128) + -0.11697*(Y1+61.15895) +
> -0.99226*(Z1+56.70381)
>
> Although looking at the rotation matrices one is the transpose of the
> other, the translation vectors are not opposite. Can someone explain
> that?
>
>
>
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-- 
Tsjerk A. Wassenaar, Ph.D.
Junior UD (post-doc)
Biomolecular NMR, Bijvoet Center
Utrecht University
Padualaan 8
3584 CH Utrecht
The Netherlands
P: +31-30-2539931
F: +31-30-2537623

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