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Graph Matching with Nonnegative Sparse Model

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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

Graph matching is an essential problem in computer vision and pattern recognition. In this paper, we propose a novel graph matching method based on non-negative sparse model (NSGM). The main feature for our NSGM is that it can generate sparse solution and thus naturally imposes the discrete mapping constraints approximately in the optimization process. In addition, an efficient algorithm was derived to solve NSGM problem. Promising experimental results on both synthetic and real image matching tasks show the effectiveness of the proposed matching method.

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References

  1. Cho, M., Lee, J., Lee, K.M.: Reweighted random walks for graph matching. In: Daniilidis, K., Maragos, P., Paragios, N. (eds.) ECCV 2010, Part V. LNCS, vol. 6315, pp. 492–505. Springer, Heidelberg (2010)

    Chapter  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, 265–298 (2004)

    Google Scholar 

  3. Leordeanu, M., Hebert, M.: A spectral technique for correspondence problem using pairwise constraints. In: ICCV, pp. 1482–1489 (2005)

    Google Scholar 

  4. Choi, O., Kweon, I.S.: Robust feature point matching by preserving local geometric consistency. CVIU 113, 726–742 (2009)

    Google Scholar 

  5. Cour, M., Srinivasan, P., Shi, J.: Balanced graph matching. In: NIPS, pp. 313–320 (2006)

    Google Scholar 

  6. Enqvist, O., Josephon, K., Kahl, F.: Optimal correspondences from pairwise constraints. In: ICCV, pp. 1295–1302 (2009)

    Google Scholar 

  7. Torresani, L., Kolmogorov, V., Rother, C.: Feature correspondence via graph matching: Models and global optimization. In: Forsyth, D., Torr, P., Zisserman, A. (eds.) ECCV 2008, Part II. LNCS, vol. 5303, pp. 596–609. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

  8. Leordeanu, M., Hebert, M.: An integer projected fixed point method for graph matching and map inference. In: NIPS, pp. 1114–1122 (2009)

    Google Scholar 

  9. Zhou, F., Torre, F.D.: Factorized graph matching. In: CVPR, pp. 127–134 (2012)

    Google Scholar 

  10. Donoho, D.: Compressed sensing. Technical Report, Stanford University (2006)

    Google Scholar 

  11. Donoho, D.: For most large underdetermined systerms of linear equations, the minimal l1-norm solution is also the sparsest solution. In: Comm. Pure Appl. Math., vol. 59 (2006)

    Google Scholar 

  12. Duchi, J., Shwartz, S.S., Singer, Y., Chandra, T.: Efficient projections onto the l1-ball for learning in high dimensions. In: ICML (2008)

    Google Scholar 

  13. Ding, C., Li, T., Jordan, M.I.: Convex and semi-nonnegative matrix factorization. PAMI 32(1), 45–55 (2010)

    Article  Google Scholar 

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Jiang, B., Tang, J., Luo, B. (2013). Graph Matching with Nonnegative Sparse Model. 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_5

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  • DOI: https://doi.org/10.1007/978-3-642-38221-5_5

  • 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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