Sampling triangle mesh obtained with Delaunay function

I have a colection of 3d cloud points such as the one that follows, representing a 3d shape:

My goal is to increase the number of points on each cloud so that I obtain more 'continuous' clouds.

I was thinking of using the function delaunay in order to obtain a triangle mesh such as the one that follows

So that afterwards I could sample it and obtain a smoother cloud. Is there any straightforward way to sample the delaunay mesh?

Or else, do you think there is a better way to achieve this goal without creating a triangle mesh?