Efficient colored point set matching under noise

Santiago Diez Donoso, J. Antoni Sellarès

研究成果: Conference contribution

2 被引用数 (Scopus)

抄録

Let A and B be two colored point sets in R2, with \A\ ≤ \B\. We propose a process for determining matches, in terms of the bottleneck distance, between A and subsets of B under color preserving rigid motion, assuming that the position of all colored points in both sets contains a certain amount of "noise". The process consists of two main stages: a lossless filtering algorithm and a matching algorithm. The first algorithm determines a number of candidate zones which are regions that contain a subset S of B such that A may match one or more subsets B′ of S. We use a compressed quadtree to have easy access to the subsets of B related to candidate zones and store geometric information that is used by the lossless filtering algorithm in each quadtree node. The second algorithm solves the colored point set matching problem: we generate all, up to a certain equivalence, possible motions that bring A close to some subset B′ of every S and seek for a matching between sets A and B′. To detect these possible matchings we use a bipartite matching algorithm that uses Skip Quadtrees for neighborhood queries. We have implemented the proposed algorithms and report results that show the efficiency of our approach.

本文言語English
ホスト出版物のタイトルComputational Science and Its Applications - ICCSA 2007 - International Conference, Proceedings
ページ26-40
ページ数15
PART 1
出版ステータスPublished - 2007 12 1
イベントInternational Conference on Computational Science and its Applications, ICCSA 2007 - Kuala Lumpur, Malaysia
継続期間: 2007 8 262007 8 29

出版物シリーズ

名前Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
番号PART 1
4705 LNCS
ISSN(印刷版)0302-9743
ISSN(電子版)1611-3349

Other

OtherInternational Conference on Computational Science and its Applications, ICCSA 2007
CountryMalaysia
CityKuala Lumpur
Period07/8/2607/8/29

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Computer Science(all)

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