Document Detail


A Tensor-Based Algorithm for High-Order Graph Matching.
MedLine Citation:
PMID:  21646677     Owner:  NLM     Status:  Publisher    
Abstract/OtherAbstract:
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 multi-dimensional 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.
Authors:
Olivier Duchenne; Francis Bach; In-So Kweon; Jean Ponce
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Publication Detail:
Type:  JOURNAL ARTICLE     Date:  2011-5-26
Journal Detail:
Title:  IEEE transactions on pattern analysis and machine intelligence     Volume:  -     ISSN:  1939-3539     ISO Abbreviation:  -     Publication Date:  2011 May 
Date Detail:
Created Date:  2011-6-7     Completed Date:  -     Revised Date:  -    
Medline Journal Info:
Nlm Unique ID:  9885960     Medline TA:  IEEE Trans Pattern Anal Mach Intell     Country:  -    
Other Details:
Languages:  ENG     Pagination:  -     Citation Subset:  -    
Affiliation:
École Normale Supérieure de Paris and the Willow project team (CNRS/ENS/INRIA UMR 8548).
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