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The hand on the left is a surface that was reconstructed from an
unorganized set of sample points using the
power crust
algorithm of Amenta,
Choi*, and
Kolluri*. This is
one of the few algorithms that is proven both to reconstruct a
topologically correct approximation of any surface from a sufficiently
dense set of sample points and to produce a watertight surface through
any set of points. The power crust algorithm also constructs an
approximation of the surface's medial axis, which is shown in the hand
on the right.
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