alt Hacker News>full of holes
On the geometry side from the theoretical point of view you can repair meshes, [1], by inferring a signed or unsigned distance field from your existing mesh, then you contour this distance field.
If you like the distance field approach, there are also research work [2], to estimate neural unsigned distance fields directly, (kind of a similar way as Gaussian splats).
[1] https://github.com/nzfeng/signed-heat-3d [it works but it's research code, so buggy, not user friendly, and mostly on toy problems because complexity explode very quickly when using a grid the number of cells grows as a n^3, and then they solve a sparse linear system on top (so total complexity bounded by n^6), but tolerating approximations and writing things properly practical complexity should be on par with methods like finite element method in Computational Fluid Dynamics.