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Hi Somi,<br>
<br>
As Karthik pointed, if both meshes are homeomorphic to a sphere you can
first use a spherical parameterization and can follow the provided
reference.<br>
<br>
A more general method (that could also handle this particular case), is
to first generate a "cut graph" on your mesh that will be used as
boundary for a planar parameterization. Note that if you constraint the
boundary to be a square in the plane, and if you associate to any
point, or triangle information like 3D coordinates, curvature, you can
generate a 2D image. Finally you can apply any registration method to
register the 2 parameterizations.<br>
<br>
Regarding this last method, you can find an explanation how to compute
the cut graph in the following paper:<br>
<a class="moz-txt-link-freetext" href="http://www.cs.sunysb.edu/~gu/publications/pdf/2002/ComputeConformalStructure.pdf">http://www.cs.sunysb.edu/~gu/publications/pdf/2002/ComputeConformalStructure.pdf</a><br>
Computing Conformal Structures Of Surfaces<br>
Xianfeng Gu and Shing-tung Yau, Communications in Information and
Systems, 2002, Volume 2, 121--146<br>
<br>
For the planar parameterization, you can find details at <br>
<a class="moz-txt-link-freetext" href="http://www.insight-journal.org/browse/publication/202">http://www.insight-journal.org/browse/publication/202</a><br>
"Parameterization of discrete surfaces", Gelas A. and Gouaillard A.<br>
<br>
<br>
Arnaud<br>
<br>
<br>
On 07/31/2009 01:00 AM, Karthik Krishnan wrote:
<blockquote
cite="mid:9ddb27260907302200r24e62029gc4dee32a1f239325@mail.gmail.com"
type="cite">There are methods for both <br>
- Point set to point set registration <br>
- mesh to mesh registration<br>
<br>
The former includes ICP. Please see the examples/tests in ITK. Search
for IterativeClosestPoint*.cxx<br>
<br>
The latter is expected to be added to ITK in the near future. You can
find the source / details at <br>
<br>
<a moz-do-not-send="true"
href="http://www.insight-journal.com/browse/publication/645">http://www.insight-journal.com/browse/publication/645</a><br>
"Rotational Registration of Spherical Surfaces Represented as QuadEdge
Meshes", Ibanez L., Audette M., Yeo B.T., Golland P.<br>
<br>
The mesh here is specific for the case of spherical meshes (points on a
2D manifold, and can be associated with the surface of a sphere) and
the transform is specific to a Rotation transform.<br>
<br>
<div class="gmail_quote">On Thu, Jul 30, 2009 at 11:44 PM, somi <span
dir="ltr"><<a moz-do-not-send="true" href="mailto:seesomi@gmail.com">seesomi@gmail.com</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;">Hi,<br>
Is there a functionality in ITK for deformable surface registration
(similar to 3D/2D volume/image registration) for registering 2 surfaces
?<br>
I want to register Mesh A to Mesh B, the number of vertices in Mesh A
and B might be different.<br>
If there is a functionality, does it support multi-resolution
registering ?<br>
<br>
I would really appreciate if someone could give me some pointers.<br>
<br>
Best Regards,<br>
<font color="#888888">Somi<br>
<br>
<input type="hidden"><input type="hidden">
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