isl-org / isl-org/Open3D

Copy UV coordinates from a reference mesh.

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feature request good first issue mesh
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Description

### Checklist

- [X] I have searched for [similar issues](https://github.com/isl-org/Open3D/issues).
- [X] For Python issues, I have tested with the [latest development wheel](https://www.open3d.org/docs/latest/getting_started.html#development-version-pip).
- [X] I have checked the [release documentation](https://www.open3d.org/docs/release/) and the [latest documentation](https://www.open3d.org/docs/latest/) (for `main` branch).

### Proposed new feature or change

In many mesh processing workflows, UV coordinates are not preserved (e.g. mesh simplification). UV coordinates are required for many downstream tasks. One way to propagate UV coordinates through mesh processing workflows is by copying them from the original mesh. Here is an outline:
1. Mesh A is processed to mesh B. Mesh A contains UV coordinates (and textures), but mesh B does not have them.
2. Call `meshB.InterpolateTextureCoordinatesFrom(meshA)`. This does:
- Create a ray casting scene with mesh A.
- For each vertex in mesh B, find nearest point in mesh A.
- Assign UV coordinates of nearest point in mesh A to the vertex in mesh B.
- Optionally, copy over any textures from mesh B to mesh A.

### References

_No response_

### Additional information

It may be necessary to convert from per-triangle UVs to per-vertex UVs (or vice versa). The following code shows an example of how to make that conversion: https://github.com/isl-org/Open3D/blob/main/cpp/open3d/visualization/rendering/filament/TriangleMeshBuffers.cpp#L614

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