Create an outer surface on 3D-Point-Cloud?

Questions
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1

Hello Here,

I am interested in creating a closed surface of given, mostly random positioned points in 3D space.
I started with the ConvexHullMesh but it does not fulfill my needs, because I also want the enclosed volume to be as small as possible (I mean, just not to loose surface information due to the way convex hull works).

I hope the image helps you to understand my needs.

Later on, I will be interested in smoothing the surface. That might be nice, if you also have some thoughts on it.

Thank you!

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2

I don’t know if there is a great answer for this, but variations on it have come up in past and maybe something at the links below might do what you want.

https://mathematica.stackexchange.com/questions/8753/finding-a-concave-hull

https://mathematica.stackexchange.com/questions/50742/meshing-the-surface-of-a-non-convex-object

https://mathematica.stackexchange.com/questions/88752/delaunaymesh-in-a-specified-closed-region-creating-a-concave-hull-from-a-set-o

3

Thanks Daniel!

Those are exactly I was looking for, especially the 3rd one.