Interesting. One of the diagrams suggests that the mesh is generated from the marching cubes algorithm but the geometry of the meshes shown above are clearly not generated in this way.
If they are using MC, does that mean they are actually generating SDFs? If so it would be nice if you could output the SDF rather than the triangle mesh.
The meshes generated by the huggingface demo definitely look like the product of marching cubes.
To me, the bird mesh actually does look like marching cubes output. Note the abundance of almost square triangle pairs on the front and sides. Also note that marching cubes doesn't nescessarily create stairstep-like artifacts; it can generate a smooth looking mesh given signed distance field input by slightly adjusting the locations of vertices based on the relative magnitude of the field at the surrounding lattice points.