Abstract
For a polygon P, the skeleton of P is a partition of P into regions assigned to the edges of P. A point p inside P belongs to the region of an edge e if and only if e is the closest edge of P. We present a randomized algorithm that builds the skeleton of a simple polygon in linear expected time. We also observe that the Delaunay triangulation (equivalently, the Voronoi diagram) of a planar point set can be computed from its connected spanning subgraph in linear expected time.
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© 1995 Springer-Verlag Berlin Heidelberg
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Klein, R., Lingas, A. (1995). Fast skeleton construction. In: Spirakis, P. (eds) Algorithms — ESA '95. ESA 1995. Lecture Notes in Computer Science, vol 979. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-60313-1_172
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DOI: https://doi.org/10.1007/3-540-60313-1_172
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