[Insight-users] Contour vs. Mesh registration

[Luis Ibanez]

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> 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
>
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