Pattern mapping

[petrasvestartas]

Mapping 2D mesh to a 3D mesh.

How it works:

1. Get a mesh, with at least one open boundary ( solid closed objects are not considered in this implementation )
2. Create a 2D mesh you want to map
3. Parametrize 3D mesh to 2D
4. Place pattern and parametrized mesh on top of each other.
5. Then using barycentric mapping mesh vertices are mapped to 3D.
6. If there is at least one mesh vertex of a pattern outside the 2D mesh, this mesh face skipped. To have a clear boundary you can clip your pattern initially.

[tomvanmele]

igl.trimesh_simple takes mesh info as a tuple of vertices and faces, whereas igl.map_mesh accepts vertices and faces individually. would perhaps be better to be consistent.

• igl.map_mesh((v, f), (pv, pf), uv, p_uv)?
• igl.map_mesh((v, f, uv), (pv, pf, p_uv))?

[tomvanmele]

also, igl.trimesh_simple doesn't really say what it does

[tomvanmele]

and perhaps it is more user-friendly to eliminate the in between step:

• igl.map_mesh_simple((v, f), (pv, pf))
• igl.map_mesh_lscm((v, f), (pv, pf))
• ...

[petrasvestartas]

I will cleaning one more little thing to make it work with boundaries:

[petrasvestartas]

Added a few examples for boundaries and exploration of Tessagon patterns:
https://github.com/petrasvestartas/compas_libigl/tree/pattern_mapping

[tomvanmele]

a few small things but otherwise LGTM

[tomvanmele]

not needed here

[tomvanmele]

perhaps not to be changed now, but i still find these names not very intuitive. something like this might be better:

• trimesh_harmonic_mapping
• trimesh_lsc_mapping
• triemsh_aabb_mapping