Coarsening a triangulation that defines a surface in 3d

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Daniel 2013-2-6

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https://ww2.mathworks.cn/matlabcentral/answers/62499-coarsening-a-triangulation-that-defines-a-surface-in-3d

Hi,

I have a triangulation in 3d that represents an open manifold (it actually represents part of a cell membrane, i.e a surface in 3d).

This (unstructured) triangulation is defined as a TriRep object and has a very fine mesh parameter (~ mean triangle length)... I'm trying to extract a regularly spaced distribution of points on this membrane, and my first thought was: "ok, I run a coarsening of this fine mesh, and just takes the triangles centers in the the coarsened mesh".... but I discovered that there is no obvious way to coarsen a given triangulation (or I missed it).

What could be the most straightforward way to get a coarsener version of this triangulation?

thanks, Daniel

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Walter Roberson 2013-2-6

I seem to recall there being a routine for thinning a triangular mesh. I have never used it, and have not looked at it often enough to remember its name.

Daniel 2013-2-7

在 MATLAB Online 中打开

An example: for instance the second one that you get with the help of TriRep, I just cut and paste it here:

% to compute the free boundary; the surface of the triangulation.
        load tetmesh
        % This loads triangulation tet and vertex coordinates X
        trep = TriRep(tet, X);
        [tri, Xb] = freeBoundary(trep);
        %Plot the surface mesh
        trisurf(tri, Xb(:,1), Xb(:,2), Xb(:,3), 'FaceColor', 'cyan', 'FaceAlpha', 0.8);