Joint Cuts and Matching of Partitions in One Graph

As two fundamental problems, graph cuts and graph matching have been investigated over decades, resulting in vast literature in these two topics respectively. However the way of jointly applying and solving graph cuts and matching receives few attention. In this paper, we first formalize the problem...

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Bibliographic Details
Published in:arXiv.org 2017-11
Main Authors: Yu, Tianshu, Junchi Yan, Zhao, Jieyi, Li, Baoxin
Format: Article
Language:English
Subjects:
Algorithms
Cutting
Graph matching
Optimization
Partitions
Online Access:Get full text
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Summary:As two fundamental problems, graph cuts and graph matching have been investigated over decades, resulting in vast literature in these two topics respectively. However the way of jointly applying and solving graph cuts and matching receives few attention. In this paper, we first formalize the problem of simultaneously cutting a graph into two partitions i.e. graph cuts and establishing their correspondence i.e. graph matching. Then we develop an optimization algorithm by updating matching and cutting alternatively, provided with theoretical analysis. The efficacy of our algorithm is verified on both synthetic dataset and real-world images containing similar regions or structures.
ISSN:2331-8422