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Journal of Algorithms
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Polygon triangulation: Efficiency and minimality

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Abstract

In this paper we show that Ω(n log n) operations are necessary to triangulate a polygonal region with n vertices which contains holes (or windows). Also, we present a polynomial time algorithm for partitioning a polygonal region which may have a fixed number of holes into a minimum number of triangles. Finally, we discuss arbitrary-as opposed to chordal-minimum-number triangulations. © 1986.

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Journal of Algorithms

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