Title
Noisy colored point set matching
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@?R^2, |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.
Year
DOI
Venue
2011
10.1016/j.dam.2010.12.006
Discrete Applied Mathematics
Keywords
Field
DocType
approximate solutions,approximate matching algorithm,subsets b,subset b,computational geometry,improved computational time,exact solutions,preprocessing step,point set matching,bottleneck distance,candidate zone,noisy matching,approximated match,matching problem,exact solution,graph matching
Discrete mathematics,Bottleneck,Combinatorics,Optimal matching,Computational geometry,Filter (signal processing),Matching (graph theory),Approximate string matching,3-dimensional matching,Mathematics,Lossless compression
Journal
Volume
Issue
ISSN
159
6
Discrete Applied Mathematics
Citations 
PageRank 
References 
2
0.41
18
Authors
2
Name
Order
Citations
PageRank
Yago Diez14511.50
J. Antoni Sellarès2498.79