<br>Hi Eliana,<br><br>Is the Mesh a 2D mesh ?<br><br>That is, is embedded in a 2D space ?<br><br>or is the Mesh a 2D manifold embedded in a 3D space ?<br><br>(e.g. like the surface of a bone ?).<br><br><br>---<br><br>Unless you have other constrains that can help,...<br>
this is a very hard problem.<br><br><br>One option that you may want to consider is to<br>compute the curvature of the planar curve (e.g.<br>the radius of the osculating circle). An then in <br>the Surface compute the min and max curvature<br>
at every point.<br><br>The curvatures of the planar curve (when matched<br>to the surface) will have to be inside the ranges of<br>the min and max curvatures of the matching points.<br><br>Another way to look at it, is that the internal angles<br>
of your polygon should have to be in the range of<br>the dihedral angles of consecutive faces of the Mesh.<br><br>In that context, the easiest points to match will be the<br>points of the planar curve with the internal angles that<br>
are farther from 180 degrees.<br><br>....<br><br>In your email you ask if you could use Mesh to Image<br>registration methods.... Do you have the image from <br>which the Mesh was generated ?<br><br><br><br> Please let us know,<br>
<br><br> Thanks<br><br><br> Luis<br><br><br>------------------------------------------------------------------<br><div class="gmail_quote">On Wed, Aug 12, 2009 at 11:29 AM, Eliana Vasquez Osorio <span dir="ltr"><<a href="mailto:e.vasquezosorio@erasmusmc.nl">e.vasquezosorio@erasmusmc.nl</a>></span> wrote:<br>
<blockquote class="gmail_quote" style="border-left: 1px solid rgb(204, 204, 204); margin: 0pt 0pt 0pt 0.8ex; padding-left: 1ex;">Hello itk-users,<br>
I'd like to register a contour (polygon composed by coplanar lines) to a<br>
mesh (set of triangles floating in the space).<br>
The contour comes from a cut of the mesh, but the location of this cut<br>
is not known. The idea is to find the plane that was used to create<br>
this cut. I understand that for some cases the result is not unique,<br>
such as using a perfect circle vs. an sphere, but just one solution is ok.<br>
I wonder if someone has done this, or something similar, before.<br>
<br>
May be using ImageToSpatialObjectRegistrationMethod or<br>
PointSetToImageRegistrationMethod ???<br>
<br>
Any idea/suggestion etc is welcome!<br>
<br>
Thanks, Eliana<br>
<br>
<br>
<br>
<br>
--<br>
Eliana M. Vásquez Osorio<br>
PhD Student (OIO)<br>
Erasmus Medical Center - Daniel den Hoed Cancer Center<br>
Department of Radiation Oncology<br>
Groene Hilledijk 301<br>
3075 EA Rotterdam<br>
The Netherlands<br>
<br>
T: +31 10 70 41 491<br>
F: +31 10 70 41 012<br>
E-mail: <a href="mailto:e.vasquezosorio@erasmusmc.nl">e.vasquezosorio@erasmusmc.nl</a><br>
<br>
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