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SPM  June 2010

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Subject:

Re: Finding affine transformation parameters

From:

Pouria Mojabi <[log in to unmask]>

Reply-To:

Pouria Mojabi <[log in to unmask]>

Date:

Wed, 2 Jun 2010 12:30:20 -0700

Content-Type:

text/plain

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text/plain (359 lines)

Hey,

read the help on spm_coreg function. it is important to know what
direction you want to go. that is to say, if you are co-registering your
target image to your source image, then you only want to apply the
transformation to your target image and not the source, then reslice
your target image.
(hope i am not confusing you)

for instance, say i am co-registering T2 image to T1:
T1_vol = spm_vol(T1);
T2_vol = spm_vol(T2);
x = spm_coreg(T2_vol, T1_vol);
M = spm_matrix(x);
spm_get_space(T2, M * T2_vol.mat);

% for re-slicing i usually construct my flags first:
flags= struct('interp',5,'mask',1,'mean',0,'which',1,'wrap',[0 0 0]');
% then the files i want to re-slice, source file first (in our example
T1 image)
files = {T1;t2}
spm_reslice(files, flags);

note that here i have used b-splies degree of 5 for interpolation, if
you chose any method other than tri-linear or nearest neighbor, you will
have negative intensities in your image that you need to take care of.
so,

T2_img = spm_read_vols(T2_vol);
T2_img(T2_img < 0) = 0 ;
spm_write_vols(T2, T2_img);

Hope this helps

-P


On Wed, 2010-06-02 at 11:39 -0700, Dan Golding wrote:
> Thanks Pouria and Bas
>
> So I should use spm_get_space on the target image? I understood
> spm_get_space to be changing the header of the files it act on which
> is why I assumed it should be used on the source image which is the
> one I want to warp?
>

> Also would you mind filling in the dots on your spm_reslice(...) line
> as I think I must be using the function incorrectly at the moment as
> it doesn't seem to change my image at all. Which files should I run it
> on and in what order?
>
> Am I correct in saying that if I modify the header of a nifti image
> using spm_get_space and then use spm_reslice on the image, when I view
> the image in another software package it should have changed. Or have
> I misunderstood?
>
> Thanks
> Dan
>
> On Wed, Jun 2, 2010 at 6:30 PM, Pouria Mojabi <[log in to unmask]>
> wrote:
>         Hey Dan,
>
>         I usually do it this way:
>
>         src = spm_vol(src image)
>         trg = spm_vol(trg image)
>
>         x = spm_coreg(trg, src)
>         A = spm_matrix(x)
>
>
>         Now, i suggest this way of using spm_get_space:
>         spm_get_space(trgimage, A * trg.mat)
>
>         and then
>         spm_reslice(....)
>
>
>         hope this helps
>
>         -P
>
>
>
>
>
>         On Wed, 2010-06-02 at 07:48 -0700, Dan Golding wrote:
>         > Hi,
>         >
>         > Thanks for the responses. I've been trying to work this out
>         over the
>         > last couple of weeks. The reason I have to work with the
>         matrix
>         > algebra is that I need to apply this transformation to a
>         completely
>         > different data set and so I am currently trying to reapply
>         the
>         > transform on the original data to see if I can replicate
>         what spm is
>         > doing. But I have having trouble getting spm to apply an
>         affine
>         > transform from the command line. Here is what I have been
>         trying
>         > (ignore the file names), perhaps someone can point out what
>         I'm doing
>         > wrong? (Note I am trying to transform ef1t to look like
>         fu2t)
>         >
>         > src = spm_vol('EF1T_t1.nii');
>         > trg = spm_vol('FU2T_t1.nii');
>         >
>         > x = spm_coreg(trg, src);
>         > A = spm_matrix(x)*spm_get_space('fu2t_t1.nii');
>         >
>         > spm_get_space('ef1t_t1.nii',A);
>         > spm_reslice(['fu2t_t1.nii';'ef1t_t1.nii'])
>         >
>         >
>         > However this is not changing the image at all. I also tried
>         > spm_reslice('ef1t_t1.nii') which also did not help. I guess
>         I'm not
>         > using the reslice function correctly, or else I haven't
>         changed the
>         > header in EF1T_t1.nii correctly to contain the tranform.
>         >
>         > How do I do this?
>         >
>         > Thanks
>         > Dan
>         >
>         >
>         > On Fri, May 21, 2010 at 6:33 PM, John Ashburner
>         > <[log in to unmask]> wrote:
>         >         After alignment and the modification of the headers,
>         mapping
>         >         from voxel
>         >         to voxel is by A\B or B\A.  Coregistration estimates
>         a
>         >         rigid-body matrix
>         >         (R), which is used to update the voxel-to-world
>         mapping of the
>         >         moved
>         >         image so that the A\B or B\A thing does as it
>         should.
>         >
>         >         Best regards.
>         >         -John
>         >
>         >
>         >         On Fri, 2010-05-21 at 15:55 +0200, Neggers, S.F.W.
>         wrote:
>         >         > Just to verify:
>         >         >
>         >         > The method I suggested was : voxel-to-world
>         matrices A and B
>         >         division,
>         >         > eg A/B, or A*inv(B) which is the same
>         mathematically. This
>         >         in my
>         >         > experience maps a coordinate in world space of
>         image 1 to
>         >         the world
>         >         > space of image 2, assuming both images overlapped
>         in voxel
>         >         space. I just
>         >         > guessed that is what Dan asked for, but I could
>         easily be
>         >         mistaken. I
>         >         > use this to map a world space point p in an image
>         to the
>         >         same location
>         >         > in that image after coregistration.
>         >         >
>         >         > John: what you suggest maps voxels in one image to
>         voxels in
>         >         another
>         >         > image, right? This of course is something
>         different.
>         >         >
>         >         > Don't want to cause any confusion, so just
>         checking...
>         >         >
>         >         > So Dan, just pick what you need for the problem
>         you are
>         >         working on.
>         >         >
>         >         > Have a nice weekend,
>         >         >
>         >         > Bas
>         >         >
>         >         > --------------------------------------------------
>         >         > Dr. S.F.W. Neggers
>         >         > Division of Brain Research
>         >         > Rudolf Magnus Institute for Neuroscience
>         >         > Utrecht University Medical Center
>         >         > Visiting : Heidelberglaan 100, 3584 CX Utrecht
>         >         >               Room B.01.1.03
>         >         > Mail     : Huispost B.01.206, P.O. Box 85500
>         >         >              3508 GA Utrecht, the Netherlands
>         >         > Tel       : +31 (0)88 7559609
>         >         > Fax      : +31 (0)88 7555443
>         >         > E-mail  : [log in to unmask]
>         >         > Web    : http://www.neuromri.nl/people/bas-neggers
>         >         >              http://www.neuralnavigator.com
>         >         > --------------------------------------------------
>         >         >
>         >         >
>         >         >
>         >         > > -----Oorspronkelijk bericht-----
>         >         > > Van: SPM (Statistical Parametric Mapping)
>         >         > > [mailto:[log in to unmask]] Namens John
>         Ashburner
>         >         > > Verzonden: vrijdag 21 mei 2010 15:24
>         >         > > Aan: [log in to unmask]
>         >         > > Onderwerp: Re: [SPM] Finding affine
>         transformation
>         >         parameters
>         >         > >
>         >         > > To register two images of the same subject, the
>         objective
>         >         is
>         >         > > to be able to map from voxels in one image to
>         voxels in
>         >         the
>         >         > > other.  Doing this requires the "voxel to world"
>         matrices
>         >         in
>         >         > > the headers.  So, to go from image 1 (whos
>         voxel-to-world
>         >         > > mapping is M1) to image 2 (whose mapping is M2),
>         you would
>         >         need to:
>         >         > >
>         >         > > 1) Map from voxels in image 1 to world space
>         (multiply by
>         >         M1)
>         >         > > 2) Rotate and translate this world space into
>         alignment
>         >         with
>         >         > > the world space of image 2 (multiply by R)
>         >         > > 3) Map from this world space back to voxels in
>         image 2
>         >         > > (multiply by the inverse of M2).
>         >         > >
>         >         > > So the overall matrix is:  M2\R*M1
>         >         > > And the mapping from voxels in image 2 to those
>         in image 1
>         >         is:
>         >         > > inv(M1)*inv(R)*M2
>         >         > >
>         >         > >
>         >         > > The six parameters computed by spm_coreg are as
>         described
>         >         in
>         >         > > spm_matrix.m .  They paramaterise R (or its
>         inverse).
>         >          Going
>         >         > > back from a matrix R to the parameters can be
>         done by
>         >         spm_imatrix.
>         >         > >
>         >         > > Best regards,
>         >         > > -John
>         >         > >
>         >         > >
>         >         > > On Fri, 2010-05-21 at 13:42 +0100, Dan Golding
>         wrote:
>         >         > > > Hi,
>         >         > > >
>         >         > > > I would like to find the 12 parameters for an
>         affine
>         >         > > transformation between two nifti images. I have
>         been
>         >         looking
>         >         > > into using spm_coreg and spm_matrix but I
>         couldn't quite
>         >         > > understand how to use them form their help.
>         spm_coreg
>         >         outputs
>         >         > > 6 parameters, I'm not sure what these 6 are?
>         >         > > >
>         >         > > > Also is there a function that does the reverse
>         of
>         >         > > spm_matrix, i.e. one that can take an affine
>         >         transformation
>         >         > > matrix and split it into 3 rotations, 3 scalings
>         etc...?
>         >         > > >
>         >         > > > Thanks
>         >         > > > Dan
>         >         > > >
>         >         > >
>         >         > > --
>         >         > > John Ashburner <[log in to unmask]>
>         >         > >
>         >         >
>         >         >
>         >
>         ------------------------------------------------------------------------------
>         >         >
>         >         > De informatie opgenomen in dit bericht kan
>         vertrouwelijk
>         >         zijn en is
>         >         > uitsluitend bestemd voor de geadresseerde. Indien
>         u dit
>         >         bericht onterecht
>         >         > ontvangt, wordt u verzocht de inhoud niet te
>         gebruiken en de
>         >         afzender direct
>         >         > te informeren door het bericht te retourneren. Het
>         >         Universitair Medisch
>         >         > Centrum Utrecht is een publiekrechtelijke
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>         >         > (Wet Hoger Onderwijs en Wetenschappelijk
>         Onderzoek) en staat
>         >         geregistreerd bij
>         >         > de Kamer van Koophandel voor Midden-Nederland
>         onder nr.
>         >         30244197.
>         >         >
>         >         > Denk s.v.p aan het milieu voor u deze e-mail
>         afdrukt.
>         >         >
>         >         >
>         >
>         ------------------------------------------------------------------------------
>         >         >
>         >         > This message may contain confidential information
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>         >         > for the addressee. If you receive this message
>         >         unintentionally, please do not
>         >         > use the contents but notify the sender immediately
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>         >         --
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>         >
>
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