User:HooglyBoogly/GSoC2019/Vertex Mesh Create

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=Plan for Building Vertex Meshes with the ADJ Pattern=

(Document in progress)

The vertex meshes are created by repeated subdivision of an initial simple shape that fills the opening. During the subdivision the boundary vertices are snapped to the profile. To maintain compatibility with the other bevel features, this same general strategy will be used for the custom profile vertex meshes.

Pipe Case and Cube Corner Case
Because they're more symmetrical and simpler, both of these cases snap the new points to the superellipsoid function currently. This means I'll either have to disable this snapping and let the subdivision run its course or enable new snapping.

Functions That Need Custom Analogs

 * 1) snap_to_superellipsoid:
 * 2) interp_vmesh:

=Other plans=

It could be that I need a completely different solution to make the vmesh corners look good with custom profiles. Another solution that's been suggested by a few people is projecting the custom profile along the edge's direction through the intersection and intersecting them with the other edges. This might look especially good and correspond to the real world when the custom profile is symmetrical.

Weighted Average of Profile Influences
One other idea I had is that each profile could be extended through the intersection to the other points. So after each subdivision step each vertex would be snapped to all of the profiles, and the resulting location would be a weighted average of all of those snapped positions. If the snapping is too slow, the profile could be sampled at the number of vertices in each ring. This sound like a fairly slow solution, but not appreciably different from the other plans.