A Tensor-Based Algorithm for High-Order Graph Matching

This paper addresses the problem of establishing correspondences between two sets of visual features using higher order constraints instead of the unary or pairwise ones used in classical methods. Concretely, the corresponding hypergraph matching problem is formulated as the maximization of a multil...

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Veröffentlicht in:IEEE transactions on pattern analysis and machine intelligence Jg. 33; H. 12; S. 2383 - 2395
Hauptverfasser: Duchenne, O., Bach, F., In-So Kweon, Ponce, Jean
Format: Journal Article
Sprache:Englisch
Veröffentlicht: United States IEEE 01.12.2011
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Institute of Electrical and Electronics Engineers
Schlagworte:
Affinity
Algorithm design and analysis
Algorithms
Computer Science
Computer vision
Computer Vision and Pattern Recognition
Feature extraction
graph matching
Hypergraphs
image feature matching
Image segmentation
Intelligence
Mathematical analysis
Maximization
Pattern analysis
Spectra
Visual
Visualization
ISSN:0162-8828, 1939-3539, 2160-9292, 1939-3539
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Beschreibung
Zusammenfassung:This paper addresses the problem of establishing correspondences between two sets of visual features using higher order constraints instead of the unary or pairwise ones used in classical methods. Concretely, the corresponding hypergraph matching problem is formulated as the maximization of a multilinear objective function over all permutations of the features. This function is defined by a tensor representing the affinity between feature tuples. It is maximized using a generalization of spectral techniques where a relaxed problem is first solved by a multidimensional power method and the solution is then projected onto the closest assignment matrix. The proposed approach has been implemented, and it is compared to state-of-the-art algorithms on both synthetic and real data.
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ISSN:0162-8828
1939-3539
2160-9292
1939-3539
DOI:10.1109/TPAMI.2011.110