Note, the typo is not in equations 8.197a-c on page 319, only in the
first equation of the rotation matrix elements.

Regards,

Edward


On Thu, Mar 12, 2009 at 8:23 PM, Edward d'Auvergne
<edward.dauver...@gmail.com> wrote:
> On Thu, Mar 12, 2009 at 7:04 PM, Sébastien Morin
> <sebastien.mori...@ulaval.ca> wrote:
>> 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 ?
>
> Sorry, I had a much closer look and you are correct - there is an
> error there.  The problem is a typo in equation 6.61 (page 193) of my
> thesis, c23 should be sin(beta) * sin(gamma).  I double checked using
> wikipedia and tracked it back to the thesis.  Glad that it's in the
> thesis and not the code!!!
>
> Cheers,
>
> Edward
>
>
> P.S.  It would be useful if you could confirm that the problem is
> indeed in the thesis and not the code ;)
>

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