Efficient colored point set matching under noise

Yago Diez, J. Antoni Sellarès

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Citations (Scopus)


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.

Original languageEnglish
Title of host publicationComputational Science and Its Applications - ICCSA 2007 - International Conference, Proceedings
PublisherSpringer Verlag
Number of pages15
EditionPART 1
ISBN (Print)9783540744689
Publication statusPublished - 2007
Externally publishedYes
EventInternational Conference on Computational Science and its Applications, ICCSA 2007 - Kuala Lumpur, Malaysia
Duration: 2007 Aug 262007 Aug 29

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
NumberPART 1
Volume4705 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349


OtherInternational Conference on Computational Science and its Applications, ICCSA 2007
CityKuala Lumpur

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Computer Science(all)


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