Robust Meshes from Multiple Range Maps: Slide 11 of 14.

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This slide illustrates what happens with thin surfaces. A thin surface is seen from the left (green curve) and from the right (red curve). The cubes are carved from both sides, that is every cube that is fully in front of one surface is removed, but the ones intersecting the surface remain, creating a shell around the surface.

The same example shows that there's a limit for how small cubes one should use with thin surfaces. Due to a registration error the indentation on the green view pushes through into front of the red view. This causes all of the cubes at that location to be in front of one of the surface and be carved away, creating a hole. One shouldn't therefore use cubes smaller than the registration error, range sampling error, and sampling density, at least with thin objects.