Triangulating a simple polygon in linear time
Discrete & Computational Geometry
Handbook of discrete and computational geometry
Triangulation and shape-complexity
ACM Transactions on Graphics (TOG)
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The decomposition of planar polygons into triangles is a well studied area of Computer Graphics with particular relevance to GIS. Trapezoidation is often performed as a first step to triangulation. Though a linear time algorithm [2] for the decomposition of a simple polygon into triangles exists, it is extremely complicated and in practice O(nlogn) algorithms are used. We present a very simple O(n) -time heuristics for the trapezoidation of simple polygons without holes. Such polygons commonly occur in Geographic Information Systems (GIS) databases.