Generating Random Orthogonal Polygons

Abstract

We propose two different methods for generating random orthogonal polygons with a given number of vertices. One is a polynomial time algorithm and it is supported by a technique we developed to obtain polygons with an increasing number of vertices starting from a unit square. The other follows a constraint programming approach and gives great control on the generated polygons. In particular, it may be used to find all n-vertex orthogonal polygons with no collinear edges that can be drawn in an n 2 × n 2 grid, for small n, with symmetries broken.

DOI: 10.1007/978-3-540-25945-9_36

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Cite this paper

@inproceedings{Toms2003GeneratingRO, title={Generating Random Orthogonal Polygons}, author={Ana Paula Tom{\'a}s and Ant{\'o}nio Leslie Bajuelos}, booktitle={CAEPIA}, year={2003} }