The medial axis of a union of balls

  • Amenta N
  • Kolluri R
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Abstract

We present an algorithm for computing the exact interior medial axis of a union of balls in Rd. Our algorithm combines the simple characterization of this medial axis given by Attali and Montanvert with the combinatorial information provided by Edelsbrunner's α-shape. This leads to a simple algorithm, which we have implemented for d=3.

Author-supplied keywords

  • Alpha-shape
  • Medial axis
  • Shape representation

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