Wednesday, February 20, 2013

Lab meeting Feb. 21, 2013 (ChihChung) A Tensor-Based Algorithm for High-Order Graph Matching (PAMI 2010)

Authors: Olivier Duchenne, Francis Bach, In-So Kweon, and Jean Ponce

Abstract: 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 multi-linear 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.