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3D convex hull

  • To: mathgroup at smc.vnet.net
  • Subject: [mg111738] 3D convex hull
  • From: "S. B. Gray" <stevebg at ROADRUNNER.COM>
  • Date: Thu, 12 Aug 2010 05:26:47 -0400 (EDT)
  • Reply-to: stevebg at ROADRUNNER.COM

I think it was Yves Klett who told me about this:

verts = ComputationalGeometry`Methods`ConvexHull3D[plist][[1, 1]];

where plist is the original list of vertices and verts is the list of 
vertices on the convex hull of plist. Very simple and very fast, but it 
does not distinguish the triangles on the convex hull from the triangles 
having interior lines. Eric's does do that (in fact it returns the hull 
in terms of those exterior polygons or triangles), and it's not so easy 
to do after doing the command listed above. Fortunately I can 
accommodate the extra triangle lines.

Maybe version 8 will have a CH function that does everything.

Steve Gray


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