We present a skelectonzation algorithm defined by ex- plicit Boolean conditions which are dimension independent. The pro- posed procedure leads to new thinning algorithms in two dimen- sions (2D) and three dimensions (3D). We establish the mathematical properties of the resulting skeleton referred to as the MB skeleton. From a topological point of view, we prove that the Algorithm preserves connectivity in 2D and 3D. From a metric point Of view, we show that the MB skeleton is located on a median hy- Persurface (MHS) that we define.
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