@kevinmoerman The volume-preserving algorithm looks very good. Could it be used for real-time smoothing in a sculpting application, like Blender's Sculpt Mode?
@metin Yes, probably*. You may have it already in Blender (I know Meshlab has it too for instance). It is called HC (Humphrey’s Classes) smoothing. Here is the paper defining the algorithm, it is easy enough to implement: https://doi.org/10.1111/1467-8659.00334/.
Email me if you can't access it (kevin.moerman@universityofgalway.ie).
It is not formally volume preserving but it aims to avoid the shape distortions seen for normal Laplacian smoothing by pushing nodes back a bit.
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