Edward d'Auvergne wrote:
> On Thu, Mar 12, 2009 at 6:05 PM, Sébastien Morin
> <sebastien.mori...@ulaval.ca> wrote:
>   
>> Hi,
>>
>> In an attempt to find the problem causing this bug, I dug into the code
>> and found something which could be erroneous... This alone does not fix
>> the bug, but may be part of the fix (or not)...
>>
>> In function math_fns/direction_cosine.calc_ellipsoid_di(), there could
>> be an error at line 229:
>>
>>    diff_data.dz[1] =  data.sin_b * data.sin_g
>>
>> If I am right (?), this part of the code is related to page 193 of
>> Edward  d'Auvergne's thesis:
>>
>>    c11  =  diff_data.dx[0]
>>    c21  =  diff_data.dx[1]
>>    c31  =  diff_data.dx[2]
>>
>>    c12  =  diff_data.dy[0]
>>    c22  =  diff_data.dy[1]
>>    c32  =  diff_data.dy[2]
>>
>>    c13  =  diff_data.dz[0]
>>    c23  =  diff_data.dz[1]  -->  FALSE !!!!
>>    c33  =  diff_data.dz[2]
>>
>> Indeed,
>>    c23 = sin(beta) * cos(gamma),
>> whereas
>>    diff_data.dz[1] =  data.sin_b * data.sin_g
>>
>>
>> Thus, either me, the code or Edward's thesis are erroneous here...
>>
>> Am I right ?
>>     
>
> These unit vectors are the columns of the reverse matrix, or the
> transpose, or simply rows of the normal matrix.  This depends if you
> are defining the rotation from being from the diffusion tensor frame
> to the lab frame or the reverse - both are related by the transpose.
> Hence this value is c32 which in my thesis is sin(alpha)*sin(beta).
> Does this answer your question and solve the issue?  There could be
> bugs elsewhere in here though because of this.
>
>   
Ok... I am far from an expert in trigonometry...  :p

If I understand well what you wrote, there is no error in the code or
the thesis ? Or should something be corrected ?

Regards,


Séb

> Regards,
>
> Edward
>
>   


-- 
Sébastien Morin
PhD Student
S. Gagné NMR Laboratory
Université Laval & PROTEO
Québec, Canada


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