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Tests were carried out both in 2D and 3D, but since 3D is more relevant to this
project (and more difficult) we will only describe the 3D experiments.
We have done some tests on 3D lines , parabolas, and 
curves, surrounded by
ellipses that were allowed to turn around the central curve with
different speeds. The tests show that it is very important to ensure
that the surface do not cross itself, and that the algorithm will only compare
the first connected component of the common part - thus, if there is an
intersection only on the second connected component, the algorithm will not
find it.
We have many results from
different mathematical curves, and the algorithm works as expected, with or without
an intersection.
The figure 6 shows a case then the inside surface has been lifted
enough to make an intersection. Figure 7 is a regular case.