Noisy colored point set matching

Yago Diez, J. Antoni Sellars

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

We propose a process for determining approximated matches, in terms of the bottleneck distance, under color preserving rigid motions, between two colored point sets A,B∈R2, |A|≤|B|. We solve the matching problem by generating all representative motions that bring A close to a subset B′ of set B and then using a graph matching algorithm. We also present an approximate matching algorithm with improved computational time. In order to get better running times for both algorithms we present a lossless filtering preprocessing step. By using it, we determine some candidate zones which are regions that contain a subset S of B such that A may match one or more subsets B′ of S. Then, we solve the matching problem between A and every candidate zone. Experimental results using both synthetic and real data are reported to prove the effectiveness of the proposed approach.

Original languageEnglish
Pages (from-to)433-449
Number of pages17
JournalDiscrete Applied Mathematics
Volume159
Issue number6
DOIs
Publication statusPublished - 2011 Mar 28

Keywords

  • Approximate solutions
  • Bottleneck distance
  • Computational geometry
  • Exact solutions
  • Noisy matching
  • Point set matching

ASJC Scopus subject areas

  • Discrete Mathematics and Combinatorics
  • Applied Mathematics

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