Graph Matching for Shape

This paper describes a Bayesian graph matching algorithm for data-mining from large structural databases. The matching algorithm uses edge-consistency and node attribute similarity to determine the a posteriori probability of a query graph for each of the candidate matches in the database. The node feature-vectors are constructed by computing normalised histograms of pairwise geometric attributes. Attribute similarity is assessed by computing the Bhattacharyya distance between the histograms. Recognition is realised by selecting the candidate from the database which has the largest a posteriori probability. We illustrate the recognition technique on a database containing 2500 line patterns extracted from real-world imagery. Here the recognition technique is shown to signiicantly outperform a number of algorithm alternatives.