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Map Edit Distance vs. Graph Edit Distance for Matching Images

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Graph-Based Representations in Pattern Recognition (GbRPR 2013)

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 7877))

Abstract

Generalized maps are widely used to model the topology of nD objects (such as 2D or 3D images) by means of incidence and adjacency relationships between cells (0D vertices, 1D edges, 2D faces, 3D volumes, ...). Recently, we have introduced a map edit distance. This distance compares maps by means of a minimum cost sequence of edit operations that should be performed to transform a map into another map. In this paper, we introduce labelled maps and we show how the map edit distance may be extended to compare labeled maps. We experimentally compare our map edit distance to the graph edit distance for matching regions of different segmentations of a same image.

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References

  1. Fischler, M.A., Bolles, R.C.: Random sample consensus: A paradigm for model fitting with applications to image analysis and automated cartography. Comm. of the ACM 6(24), 381–395 (1981)

    Article  MathSciNet  Google Scholar 

  2. Conte, D., Foggia, P., Sansone, C., Vento, M.: Thirty Years Of Graph Matching In Pattern Recognition. International Journal of Pattern Recognition and Artificial Intelligence (2004)

    Google Scholar 

  3. Riesen, K., Bunke, H.: Approximate graph edit distance computation by means of bipartite graph matching. Image Vision Comput. 27, 950–959 (2009)

    Article  Google Scholar 

  4. Lienhardt, P.: N-dimensional generalized combinatorial maps and cellular quasi-manifolds. Computational Geometry and Applications 4(3), 275–324 (1994)

    Article  MathSciNet  MATH  Google Scholar 

  5. Fradin, D., Meneveaux, D., Lienhardt, P.: A hierarchical topology-based model for handling complex indoor scenes. Computer Graphics Forum 25(2), 149–162 (2006)

    Article  Google Scholar 

  6. Braquelaire, J.P., Brun, L.: Image segmentation with topological maps and inter-pixel representation. Visual Communication and Image Representation 9(1), 62–79 (1998)

    Article  Google Scholar 

  7. Damiand, G.: Topological model for 3d image representation: Definition and incremental extraction algorithm. Computer Vision and Image Understanding 109(3), 260–289 (2008)

    Article  Google Scholar 

  8. Combier, C., Damiand, G., Solnon, C.: From maximum common submaps to edit distances of generalized maps. Pattern Recognition Letters 33(15), 2020–2028 (2012)

    Article  Google Scholar 

  9. Dupas, A., Damiand, G.: First results for 3D image segmentation with topological map. In: Coeurjolly, D., Sivignon, I., Tougne, L., Dupont, F. (eds.) DGCI 2008. LNCS, vol. 4992, pp. 507–518. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

  10. Munkres, J.: Algorithms for the assignment and transportation problems. Journal of the Society of Industrial and Applied Mathematics 5(1), 32–38 (1957)

    Article  MathSciNet  MATH  Google Scholar 

  11. Combier, C., Damiand, G., Solnon, C.: Measuring the distance of generalized maps. In: Jiang, X., Ferrer, M., Torsello, A. (eds.) GbRPR 2011. LNCS, vol. 6658, pp. 82–91. Springer, Heidelberg (2011)

    Chapter  Google Scholar 

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Combier, C., Damiand, G., Solnon, C. (2013). Map Edit Distance vs. Graph Edit Distance for Matching Images. In: Kropatsch, W.G., Artner, N.M., Haxhimusa, Y., Jiang, X. (eds) Graph-Based Representations in Pattern Recognition. GbRPR 2013. Lecture Notes in Computer Science, vol 7877. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-38221-5_16

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  • DOI: https://doi.org/10.1007/978-3-642-38221-5_16

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-38220-8

  • Online ISBN: 978-3-642-38221-5

  • eBook Packages: Computer ScienceComputer Science (R0)

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