An integer linear program for substitution-tolerant subgraph isomorphism and its use for symbol spotting in technical drawings

Pattern Recognition

Volumn 45, Issue 12, 2012, Pages 4214-4224

  Le Bodic, Pierre ^a   Héroux, Pierre ^b   Adam, Sébastien ^b   Lecourtier, Yves ^b  

^a UNIVERSITÉ PARIS SACLAY   (France)

^b University of Rouen   (France)

Author keywords

Integer linear programming; Substitution tolerant subgraph isomorphism; Symbol spotting

Indexed keywords

EDITING OPERATIONS; ERROR TOLERANT; EXACT MATCHING; INTEGER LINEAR PROGRAMMING; INTEGER LINEAR PROGRAMS; MINIMAL COST; OPTIMIZATION PROCESS; PATTERN RECOGNITION PROBLEMS; REAL VALUES; REGION ADJACENCY GRAPHS; SEGMENTATION PROCESS; SUBGRAPH ISOMORPHISM; SYMBOL DETECTION; SYMBOL SPOTTING; SYNTHETIC GRAPHS; TECHNICAL DRAWING;

IMAGE SEGMENTATION; INTEGER PROGRAMMING; PATTERN RECOGNITION; SET THEORY; TOPOLOGY;

PROBLEM SOLVING;

EID: 84864289311     PISSN: 00313203     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.patcog.2012.05.022     Document Type: Article

References (42)

1. M. Kuramochi, G. Karypis Finding frequent patterns in a large sparse graph Data Mining and Knowledge Discovery 11 3 2005 243 271
2. A. Inokuchi, T. Washio, H. Motoda, Complete mining of frequent patterns from graphs: mining graph data, Machine Learning 50 (3).
3. E. Barbu, P. Héroux, S. Adam, E. Trupin Frequent graph discovery: application to line drawing document images Electronic Letters on Computer Vision and Image Analysis (ELCVIA) 5 2 2005 47 57
4. M. Neuhaus, H. Bunke Edit distance-based kernel functions for structural pattern classification Pattern Recognition 39 10 2006 1852 1863
5. R. Raveaux, S. Adam, P. Héroux, E. Trupin Learning graph prototypes for shape recognition Computer Vision and Image Understanding 115 7 2011 905 918 10.1016/j.cviu.2010.12.015
6. H. Zanghi, C. Ambroise, V. Miele Fast online graph clustering via Erdos Renyi mixture Pattern Recognition 41 12 2008 3592 3599
7. H. Qiu, E. Hancock Graph matching and clustering using spectral partitions Pattern Recognition 39 1 2006 22 34
8. F.E.M.A. Lozano Protein classification by matching and clustering surface graphs Pattern Recognition 39 4 2006 539 551
9. L.P. Cordella, P. Foggia, C. Sansone, M. Vento A (sub)graph isomorphism algorithm for matching large graphs The IEEE Transactions on Pattern Analysis and Machine Intelligence 26 10 2004 1367 1372
10. S. Auwatanamongkol Inexact graph matching using a genetic algorithm for image recognition Pattern Recognition Letters 28 12 2007 1428 1437
11. S. Zampelli, Y. Deville, C. Solnon Solving subgraph isomorphism problems with constraint programming Constraints 15 3 2010 327 353
12. C. Solnon Alldifferent-based filtering for subgraph isomorphism Artificial Intelligence 174 12-13 2010 850 864
13. P. Le Bodic, H. Locteau, S. Adam, P. Héroux, Y. Lecourtier, A. Knippel, Symbol detection using region adjacency graphs and integer linear programming, in: Proceedings of the International Conference on Document Analysis and Recognition (ICDAR09), 2009, pp. 1320-1324.
14. D. Conte, P. Foggia, C. Sansone, M. Vento Thirty years of graph matching in pattern recognition International Journal of Pattern Recognition and Artificial Intelligence 18 3 2004 265 298
15. J. Larrosa, G. Valiente Constraint satisfaction algorithms for graph pattern matching Mathematical Structures in Computer Science 12 4 2002 403 422
16. J.R. Ullmann An algorithm for subgraph isomorphism Journal of ACM 23 1 1976 31 42
17. L.P. Cordella, P. Foggia, C. Sansone, M. Vento, Performance evaluation of the VF graph matching algorithm, in: Proceedings of the International Conference on Image Analysis and Processing, 1999, pp. 1172-1177.
18. D.E. Ghahraman, A.K.C. Wong, T. Au Graph optimal monomorphism algorithms IEEE Transactions on System, Man and Cybernetics 10 1980 181 188
19. A.K.C. Wong, M. You, S.C. Chan An algorithm for graph optimal monomorphism IEEE Transactions on System, Man and Cybernetics 20 3 1990 628 638
20. R.C. Wilson, E.R. Hancock Structural matching by discrete relaxation IEEE Transactions on Pattern Analysis and Machine Intelligence 19 1997 634 648
21. H.A. Almohamad, S.O. Duffuaa A linear programming approach for the weighted graph matching problem IEEE Transaction on Pattern Analysis and Machine Intelligence 15 5 1993 522 525
22. D. Justice, A. Hero A binary linear programming formulation of the graph edit distance IEEE Transactions on Pattern Analysis and Machine Intelligence 28 8 2006 1200 1214
23. G.L. Nemhauser, L.A. Wolsey Integer and combinatorial optimization 1988 Wiley-Interscience New York, NY, USA
24. A. Schrijver Theory of Linear and Integer Programming 1998 John Wiley & Sons New York, NY, USA
25. H. Kellerer, U. Pferschy, D. Pisinger Knapsack Problems 2004 Springer Berlin, Germany
26. D.L. Applegate, R.E. Bixby, V. Chvatal, W.J. Cook The Traveling Salesman Problem: A Computational Study (Princeton Series in Applied Mathematics) 2007 Princeton University Press
27. F.K. Hwang, D.S. Richards, P. Winter, The Steiner Tree Problem, Annals of Discrete Mathematics, vol. 53, North-Holland, Amsterdam, Netherlands, 1992.
28. E. Danna, M. Fenelon, Z. Gu, R. Wunderling, Generating multiple solutions for mixed integer programming problems, in: IPCO 07: Proceedings of the 12th International Conference on Integer Programming and Combinatorial Optimization, Springer-Verlag, Berlin, Heidelberg, 2007, pp. 280-294.
29. P. Erdös, A. Rényi On random graphs Publicationes Mathematicae 6 1959 290 297
30. S. Tabbone, L. Wendling, K. Tombre Matching of graphical symbols in line-drawing images using angular signature information International Journal on Document Analysis and Recognition 6 2 2003 115 125
31. S. Adam, J. Ogier, C. Cariou, R. Mullot, J. Labiche, J. Gardes Symbol and character recognition: application to engineering drawings International Journal of Document Analysis and Recognition (IJDAR) 3 2 2000 89 101
32. P. Dosch, J. Lladós, Vectorial signatures for symbol discrimination, in: Graphics Recognition: Recent Advances and Perspectives, Lecture Notes in Computer Science, vol. 3088, 2004, pp. 154-165.
33. W. Zhang, L. Wenyin, A new vectorial signature for quick symbol indexing, filtering and recognition, in: Proceedings of the Ninth International Conference on Document Analysis and Recognition, 2007, pp. 536-540.
34. J. Lladós, E. Martí, J.J. Villanueva Symbol recognition by error-tolerant subgraph matching between region adjacency graphs IEEE Transactions on Pattern Analysis and Machine Intelligence 23 10 2001 1137 1143
35. E. Barbu, P. Héroux, S. Adam, E. Trupin, Using bags of symbols for automatic indexing of graphical document image databases, in: Graphics Recognition. Ten Years Review and Future Perspectives, Lecture Notes in Computer Science, 2005, pp. 195-205.
36. H. Locteau, S. Adam, E. Trupin, J. Labiche, P. Héroux, Symbol spotting using full visibility graph representation, in: Proceedings of the Seventh International Workshop on Graphics Recognition, 2007, pp. 49-50.
37. R.L. Qureshi, J.-Y. Ramel, D. Barret, H. Cardot, Spotting symbols in line drawing images using graph representations, in: Graphics Recognition. Recent Advances and New Opportunities, Lecture Notes in Computer Science, 2008, pp. 91-103.
38. M. Teague Image analysis via the general theory of moments Journal of the Optical Society of America 70 8 1980 920 930
39. M. Delalandre, E. Valveny, T. Pridmore, D. Karatzas Generation of synthetic documents for performance evaluation of symbol recognition; spotting systems International Journal on Document Analysis and Recognition 13 2010 187 207
40. B.T. Messmer, H. Bunke A new algorithm for error-tolerant subgraph isomorphism detection IEEE Transactions on Pattern Analysis and Machine Intelligence 20 5 1998 493 504
41. S. Tabbone, L. Wendling, D. Zuwala, A hybrid approach to detect graphical symbols in documents, in: Document Analysis System VI, Lecture Notes in Computer Science, vol. 3163, 2004, pp. 342-353.
42. S. Sorlin, C. Solnon, J.-M. Jolion, A generic graph distance measure based on multivalent matchings, Applied Graph Theory in Computer Vision and Pattern Recognition, Studies in Computational Intelligence, vol. 52, Springer, 2007, pp. 151-182.