English

Probabilistic Matching of Planar Regions

Computational Geometry 2009-02-26 v1

Abstract

We analyze a probabilistic algorithm for matching shapes modeled by planar regions under translations and rigid motions (rotation and translation). Given shapes AA and BB, the algorithm computes a transformation tt such that with high probability the area of overlap of t(A)t(A) and BB is close to maximal. In the case of polygons, we give a time bound that does not depend significantly on the number of vertices.

Keywords

Cite

@article{arxiv.0902.4337,
  title  = {Probabilistic Matching of Planar Regions},
  author = {Helmut Alt and Ludmila Scharf and Daria Schymura},
  journal= {arXiv preprint arXiv:0902.4337},
  year   = {2009}
}
R2 v1 2026-06-21T12:15:21.878Z