A way to create a good meshes from intersecting surfaces

[Ere]

Hi,

I am looking for a way to automatically create meshes for intersecting surfaces. At the intersection, I want common vertices for each surface. So far I am doing it manually. The screenshots below will show what I mean:

Thanks in advance

MeshTest.3dm (110.9 KB)

[encephalon]

for situations like in the middle use NonmanifoldMerge then Quadremesh.

for the right example i am afraid you are out of luck since there are no common edges.
but maybe it helps to understand what your further steps would be here, maybe there is different work around.