Factorized Graph Matching

Feng Zhou and Fernando De la Torre Frade
IEEE Conference on Computer Vision and Pattern Recognition (CVPR), July, 2012.


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Abstract
Graph matching plays a central role in solving correspondence problems in computer vision. Graph matching problems that incorporate pair-wise constraints can be cast as a quadratic assignment problem (QAP). Unfortunately, QAP is NP-hard and many algorithms have been proposed to solve different relaxations. This paper presents factorized graph matching (FGM), a novel framework for interpreting and optimizing graph matching problems. In this work we show that the affinity matrix can be factorized as a Kronecker product of smaller matrices. There are three main benefits of using this factorization in graph matching: (1) There is no need to compute the costly (in space and time) pair-wise affinity matrix; (2) The factorization provides a taxonomy for graph matching and reveals the connection among several methods; (3) Using the factorization we derive a new approximation of the original problem that improves state-of-the-art algorithms in graph matching. Experimental results in synthetic and real databases illustrate the benefits of FGM.

Notes

Text Reference
Feng Zhou and Fernando De la Torre Frade, "Factorized Graph Matching," IEEE Conference on Computer Vision and Pattern Recognition (CVPR), July, 2012.

BibTeX Reference
@inproceedings{Zhou_2012_7022,
   author = "Feng Zhou and Fernando {De la Torre Frade}",
   title = "Factorized Graph Matching",
   booktitle = "IEEE Conference on Computer Vision and Pattern Recognition (CVPR)",
   month = "July",
   year = "2012",
}