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    $\begingroup$ I gave it a college try almost a year ago. Perhaps it's time to revisit this... $\endgroup$ Commented Jun 4, 2013 at 4:28
  • $\begingroup$ @J. M. shuffles feet nervously, your answer to that question may have been a tiny inspiration for this question... :} That said, I am explicitly looking for 3D bubbles that cut the surface not 2D approximations painted on a surface. $\endgroup$ Commented Jun 4, 2013 at 4:53
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    $\begingroup$ Apart from Perlin noise, I also played a bit with Voronoi, but the bubbles looked a tad too unnatural... $\endgroup$ Commented Jun 4, 2013 at 4:58
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    $\begingroup$ I guess one way to visualise it is that the spheres sit within variably sized Voronoi cells and only deform when they approach the margin of the cell... $\endgroup$ Commented Jun 4, 2013 at 5:54
  • $\begingroup$ ExampleData[{"TestImage3D", "CTengine"}] $\endgroup$ Commented Jun 6, 2013 at 15:46