Abstract
We show that the medial axis ofa surface S ⊂ ℝ3 can be approximated as a subcomplex oft he Voronoi diagram of a point sample of S. The subcomplex converges to the true medial axis as the sampling density approaches infinity. Moreover, the subcomplex can be computed in a scale and density independent manner. Experimental results as detailed in a companion paper corroborate our theoretical claims.KeywordsVoronoi DiagramTangent PlaneDelaunay TriangulationMedial AxisRatio ConditionThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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