Volume overlap of two convex hulls

Question

I have two sets of points which I can transform into a 3D convex hull via skimage's convex hull function. Is there some computationally efficient way with which to determine the overlap volume of the two 3D hulls formed this way?

Thanks

Answer 1

Borrowing insights from the comments:

First, I think you are interested in the intersection mesh, not the union. Once you have the vertices for the intersection mesh, I believe you can simply calculate the convex hull volume of that mesh using scipy.spatial.ConvexHull.