Myers, R., Hancock, E.R. orcid.org/0000-0003-4496-2028 and Wilson, R.C. (2000) Bayesian graph edit distance. IEEE Transactions on Pattern Analysis and Machine Intelligence. pp. 628-635. ISSN 0162-8828
Abstract
This paper describes a novel framework for comparing and matching corrupted relational graphs. The paper develops the idea of edit-distance originally introduced for graph-matching by Sanfeliu and Fu [1]. We show how the Levenshtein distance can be used to model the probability distribution for structural errors in the graph-matching problem. This probability distribution is used to locate matches using MAP label updates. We compare the resulting graph-matching algorithm with that recently reported by Wilson and Hancock. The use of edit-distance offers an elegant alternative to the exhaustive compilation of label dictionaries. Moreover, the method is polynomial rather than exponential in its worst-case complexity. We support our approach with an experimental study on synthetic data and illustrate its effectiveness on an uncalibrated stereo correspondence problem. This demonstrates experimentally that the gain in efficiency is not at the expense of quality of match.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | Copyright © 2000 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE. |
Keywords: | Graph matching,edit-distance,Bayesian,MAP estimation,stereo images |
Dates: |
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Institution: | The University of York |
Academic Units: | The University of York > Faculty of Sciences (York) > Computer Science (York) |
Depositing User: | Repository Officer |
Date Deposited: | 21 Feb 2007 |
Last Modified: | 16 Oct 2024 12:00 |
Published Version: | https://doi.org/10.1109/34.862201 |
Status: | Published |
Refereed: | Yes |
Identification Number: | 10.1109/34.862201 |
Related URLs: | |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:1988 |