# Decomposing polygonal regions into convex quadrilaterals

@inproceedings{Lubiw1985DecomposingPR, title={Decomposing polygonal regions into convex quadrilaterals}, author={Anna Lubiw}, booktitle={SCG '85}, year={1985} }

A potygonat region is a closed region of the plane formed by cutting holes bounded by polygons out of a region bounded by a polygon. Vertices [e@es] of a polygonal region are vertices [edges] of the bounding polygon and the hole polygons. A chord of a polygonal region is a line segment inside the region joining two vertices. Decomposing a polygonal region into quadrilaterals means adding chords, no two of which cross, so that the minimal regions formed by the chords and edges are quadrilaterals…

## 63 Citations

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Extended Abstract Summary: A convex quadrangulation with respect to a point set S is a planar subdivision whose vertices are the points of S, where the boundary of the unbounded outer face is the…

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