Soft edge to delete points

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Joined: 1月 2018
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Hi!
May be dumb, but I just can't seem to get it right:

How to delete points gradually in space? There's a box full of points. Inside the box, there's an intersecting, differently shaped object. I want all the points outside the intersecting object to be deleted with a soft edge. There shall be a fade between no points outside the intersecting object and all the points inside it.

What I did: White Cd to all points inside the intersecting object through an attribute-from-volume, black Cd to all points outside. Delete all points Cd<0.5 by delete node. Works for the hard edge. How to blur this edge?
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Sounds like lots of possible solutions.

Post a hip to get some suggestions.
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