On May 11, 2007, at 2:09 PM, Bob Hanson wrote:

>> original
>>   ATOM 1    ATOM 2    d(2-1)    M*d
>> x  3.95      3.86     -0.08     -1.25
>> y 38.05     36.58     -1.48      0.59
>> z 17.44     17.32     -0.11      0.53
>>
>>
>> transformed
>>   ATOM 1    ATOM 2    d(2-1)
>> x 52.94     51.69     -1.25
>> y 50.01     50.6       0.59
>> z 89.41     89.95      0.53
>>
>>
>> that's good, but now I'm stuck.  unapplying the translation does not
>> get me to the transformed coords.  this makes me think that...
>>
>>
> Since M*(a2-a1) = (a2'-a1'), you simply add ATOM 1 coordinates now to
> that and get the transformed coordinates.
>
> That is, calling A an initial coordinate, A' its transformed  
> coordinate,
> A0 the coordinate (3.95, 38.05, 17.44) and A0' (52.94, 50.01, 89.41),
> you have:
>
> A' = A0' + M*(A - A0)
>
> I think it probably doesn't matter what you use for A0'.
>
> Maybe I've lost the purpose of doing all this....
>

ack, but I won't know A0' when I do this for real.

I'm trying to get from the original coords and the matrix, to the  
transformed coordinates. (in this particular case, I do know the  
transformed coordinates, but only because I'm trying to work out the  
equations. normally I will not know them in advance.)



tim
-- 
Timothy Driscoll                                em: [EMAIL PROTECTED]
Virginia Bioinformatics Institute               ph: 540-231-3007
Bioinformatics I: M-1                           im: molvisions
Washington St., Blacksburg, VA 24061

04-16-07.  We will not forget you.



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