Article ID Journal Published Year Pages File Type
4606642 Differential Geometry and its Applications 2009 9 Pages PDF
Abstract

We establish a three-dimensional variant of the Bose formula for the internal medial axis of a closed plane curve. We generalize the result to dimensions less than or equal to 6, and we apply the result to cut-loci, and spines of 3-manifolds. Also, we describe the difference between the main theorems and recent work of Sedykh.

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Physical Sciences and Engineering Mathematics Analysis
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