Abstract
We propose a new strategy for solving the non-bijective graph matching problem in model-based pattern recognition. The search for the best correspondence between a model and an over-segmented image is formulated as a combinatorial optimization problem, defined by the relational attributed graphs representing the model and the image where recognition has to be performed, together with the node and edge similarities between them. A randomized construction algorithm is proposed to build feasible solutions to the problem. Two neighborhood structures and a local search procedure for solution improvement are also proposed. Computational results are presented and discussed, illustrating the effectiveness of the combined approach involving randomized construction and local search.
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Bengoetxea, E., Larranaga, P., Bloch, I., Perchant, A., Boeres, C.: Inexact graph matching by means of estimation distribution algorithms. Pattern Recognition 35, 2867–2880 (2002)
Bloch, I.: Fuzzy relative position between objects in image processing: a morphological approach. IEEE Transactions on Pattern Analysis Machine Intelligence 21, 657–664 (1999)
Bloch, I.: On fuzzy distances and their use in image processing under imprecision. Pattern Recognition 32, 1873–1895 (1999)
Bloch, I., Maître, H., Anvari, M.: Fuzzy adjacency between image objects. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 5, 615–653 (1997)
Chan, K.P., Cheung, Y.S.: Fuzzy-attribute graph with application to chinese character recognition. IEEE Transactions on Systems, Man and Cybernetics 22, 402–410 (1992)
Cross, A.D.J., Hancock, E.R.: Relational matching with stochastic optimization. In: International Conference on Computer Vision, pp. 365–370 (1995)
Cross, A.D.J., Wilson, R.C., Hancock, E.R.: Inexact graph matching using genetic search. Pattern Recognition 30, 953–970 (1997)
Duarte, A.R.: New heuristics and an exact integer programming formulation for an inexact graph matching problem (in Portuguese). M.Sc. Dissertation, Catholic University of Rio de Janeiro (2004)
El-Sonbaty, Y., Ismail, M.A.: A new algorithm for subgraph optimal isomorphism. Pattern Recognition 31, 205–218 (1998)
Finch, A.W., Wilson, R.C., Hancock, E.R.: Symbolic Graph matching with the EM algorithm. Pattern Recognition 31, 1777–1790 (1998)
Moissinac, H., Maître, H., Bloch, I.: Markov random fields and graphs for uncertainty management and symbolic data fusion in a urban scene interpretation. In: EUROPTO Conference on Image and Signal Processing for Remote Sensing, vol. 2579, pp. 298–309 (1995)
Perchant, A.: Morphisme de graphes d’attributs flous pour la reconnaissance structurelle de scènes. Doctorate thesis, École Nationale Supérieure des Télécommunications (2000)
Perchant, A., Bloch, I.: A new definition for fuzzy attributed graph homomorphism with application to structural shape recognition in brain imaging. In: Proceedings of the 16th IEEE Conference on Instrumentation and Measurement Technology, pp. 402–410 (1999)
Perchant, A., Boeres, C., Bloch, I., Roux, M., Ribeiro, C.C.: Model-based scene recognition using graph fuzzy homomorphism solved by genetic algorithm. In: 2nd IAPR-TC-15 Workshop on Graph-based Representations, pp. 61–70 (1999)
Ranganath, H.S., Chipman, L.J.: Fuzzy relaxaton approach for inexact scene matching. Image and Vision Computing 10, 631–640 (1992)
Resende, M.G.C., Ribeiro, C.C.: Greedy randomized adaptive search procedures. In: Glover, F., Kochenberger, G. (eds.) Handbook of Metaheuristics, pp. 219–249. Kluwer, Dordrecht (2002)
Rosenfeld, A., Hummel, R., Zucker, S.: Scene labeling by relaxation operations. IEEE Transactions on Systems, Man and Cybernetics 6, 420–433 (1976)
Schrage, L.: A more portable FORTRAN random number generator. ACM Transactions on Mathematical Software 5, 132–138 (1979)
Singh, M., Chaudhury, A.C.S.: Matching structural shape descriptions using genetic algorithms. Pattern Recognition 30, 1451–1462 (1997)
Wong, A.K.C., You, M., Chan, S.C.: An algorithm for graph optimal monomorphism. IEEE Transactions on Systems, Man and Cybernetics 20, 628–636 (1990)
Wong, E.K.: Model matching in robot vision by subgraph isomorphism. Pattern Recognition 25, 287–303 (1992)
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Boeres, M.C., Ribeiro, C.C., Bloch, I. (2004). A Randomized Heuristic for Scene Recognition by Graph Matching. In: Ribeiro, C.C., Martins, S.L. (eds) Experimental and Efficient Algorithms. WEA 2004. Lecture Notes in Computer Science, vol 3059. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-24838-5_8
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DOI: https://doi.org/10.1007/978-3-540-24838-5_8
Publisher Name: Springer, Berlin, Heidelberg
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