[Insight-users] Contour vs. Mesh registration

[Luis Ibanez]

Hi Eliana,
Thanks for the clarifications.

You are indeed dealing with a very hard problem.
(and ill-posed one).

I have no new suggestions, different from what I mentioned
in my previous email.

I could simply reinforce that you want to make use of any
possible constrain you can add to this problem. (e.g. if you could
determine the range of tilts that the plane may have).

I know that people in this list has dealt with the similar problem
of registering 2D ultrasound images to 3D pre-operative images.
In that case, there is the advantage, of having some constrains
on the orientation of the Ultra-sound plane, and on having access
to the pixel values inside the object (organ), not just using values
from the boundary.



    Regards,


         Luis


-----------------------------
On Mon, Aug 17, 2009 at 6:10 AM, Eliana Vasquez Osorio <
e.vasquezosorio at erasmusmc.nl> wrote:

> Hello Luis,
> Thank you for answering.
> It is a 2D manifold embedded in a 3D space.  It's the surface of an
> organ (such as a kidney, liver, breast, etc...) and the contours are
> cuts on these organs.
>
> Any idea so far?
> Eliana
>
>
> Luis Ibanez wrote:
> >
> > Hi Eliana,
> >
> > Is the Mesh a 2D mesh ?
> >
> > That is, is embedded in a 2D space ?
> >
> > or is the Mesh a 2D manifold embedded in a 3D space ?
> >
> > (e.g. like the surface of a bone ?).
> >
> >
> > ---
> >
> > Unless you have other constrains that can help,...
> > this is a very hard problem.
> >
> >
> > One option that you may want to consider is to
> > compute the curvature of the planar curve (e.g.
> > the radius of the osculating circle). An then in
> > the Surface compute the min and max curvature
> > at every point.
> >
> > The curvatures of the planar curve (when matched
> > to the surface) will have to be inside the ranges of
> > the min and max curvatures of the matching points.
> >
> > Another way to look at it, is that the internal angles
> > of your polygon should have to be in the range of
> > the dihedral angles of consecutive faces of the Mesh.
> >
> > In that context, the easiest points to match will be the
> > points of the planar curve with the internal angles that
> > are farther from 180 degrees.
> >
> > ....
> >
> > In your email you ask if you could use Mesh to Image
> > registration methods.... Do you have the image from
> > which the Mesh was generated ?
> >
> >
> >
> >     Please let us know,
> >
> >
> >         Thanks
> >
> >
> >           Luis
> >
> >
> > ------------------------------------------------------------------
> > On Wed, Aug 12, 2009 at 11:29 AM, Eliana Vasquez Osorio
> > <e.vasquezosorio at erasmusmc.nl <mailto:e.vasquezosorio at erasmusmc.nl>>
> > wrote:
> >
> >     Hello itk-users,
> >     I'd like to register a contour (polygon composed by coplanar
> >     lines) to a
> >     mesh (set of triangles floating in the space).
> >     The contour comes from a cut of the mesh, but the location of this
> cut
> >     is not known.  The idea is to find the plane that was used to create
> >     this cut.  I understand that for some cases the result is not unique,
> >     such as using a perfect circle vs. an sphere, but just one
> >     solution is ok.
> >     I wonder if someone has done this, or something similar, before.
> >
> >     May be using ImageToSpatialObjectRegistrationMethod or
> >     PointSetToImageRegistrationMethod ???
> >
> >     Any idea/suggestion etc is welcome!
> >
> >     Thanks, Eliana
> >
> >
> >
> >
> >     --
> >     Eliana M. Vásquez Osorio
> >     PhD Student (OIO)
> >     Erasmus Medical Center - Daniel den Hoed Cancer Center
> >     Department of Radiation Oncology
> >     Groene Hilledijk 301
> >     3075 EA Rotterdam
> >     The Netherlands
> >
> >     T: +31 10 70 41 491
> >     F: +31 10 70 41 012
> >     E-mail: e.vasquezosorio at erasmusmc.nl
> >     <mailto:e.vasquezosorio at erasmusmc.nl>
> >
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>
>
> --
> Eliana M. Vásquez Osorio
> PhD Student (OIO)
> Erasmus Medical Center - Daniel den Hoed Cancer Center
> Department of Radiation Oncology
> Groene Hilledijk 301
> 3075 EA Rotterdam
> The Netherlands
>
> T: +31 10 70 41 491
> F: +31 10 70 41 012
> E-mail: e.vasquezosorio at erasmusmc.nl
>
>
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