Rotational polygon overlap minimization

Research output: Contribution to conferencePaperpeer-review

4 Scopus citations


An effective and fast algorithm is given for rotational over lap minimization: given an overlapping layout of polygons P1,P2,P3, ..., Pk in a container polygon C1 translate and rotate the polygons to a layout that minimizes an overlap measure. A (local) overlap minimum has the property that any perturbation of the polygons increases the chosen measure of overlap. Experiments show that the algorithm works well in practice. It is shown how to apply overlap minimization to create algorithms for other layout tasks: compaction, containment, and minimal enclosure. Compaction: starting with a non-overlapping layout in a rectangular container, plan a non-overlapping motion that minimizes the length or area of the container. Containment: place the polygons into a (possibly non-convex container) without overlapping. Minimal enclosure: find a non-overlapping layout inside a minimum-length, fixed-width rectangle or inside a minimum area rectangle. All of these algorithms have important industrial applications.

Original languageEnglish (US)
Number of pages10
StatePublished - 1997
EventProceedings of the 1997 13th Annual Symposium on Computational Geometry - Nice, Fr
Duration: Jun 4 1997Jun 6 1997


OtherProceedings of the 1997 13th Annual Symposium on Computational Geometry
CityNice, Fr

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Geometry and Topology
  • Computational Mathematics


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