Using Shape_regularization::Planes::regularize_planes on a Surface_mesh

[pentacular]

I have managed to get regularize_planes to operate on the planes of a surface mesh.
I am trying to use Polygonal_surface_reconstruction to turn the regularized planes and points back into a surface mesh.
The idea being to produce a version of the original surface mesh with regularized planes.
Polygonal_surface_reconstruction seems very slow with even a few hundred facets -- although I may be misusing it.

Is Polygonal_surface_reconstruction a reasonable approach, or would you recommend a different approach?

Thanks.

[pentacular]

One thing I forgot to mention is that I'd like to be able to offset the planes along their normals after regularization.

Otherwise I think that simply updating the points in the Surface_mesh and testing for self-intersection should be sufficient.

[pentacular]

It seems like this more or less works, but requires supplying the centroid and corners of each face.