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Reduction Strings: A Representation of Symbolic Hierarchical Graphs Suitable for Learning

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Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 3434))

Abstract

This paper proposes a new possible way to represent a symbolic graph pyramid built by successive applications of some rules. This representation is targeted for learning the rules, since it contains information about which rules were applied, but also because it can be used to easily define the space of all possible pyramids as a reduction tree. We also consider restraining the possible rules to some basic ones in order to make the reduction trees easy to build, and a way to use them for learning will be presented.

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References

  1. Duchesnay, E.: Agents situés dans l’image organisés en pyramide irrégulière, contribution à la segmentation par une approche d’agrégation coopérative et adaptative. PhD thesis, Laboratoire de Traitement du Signal et de l’Image, University of Rennes I, France (2001)

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  2. Hancock, E., Vento, M. (eds.): GbRPR 2003. LNCS, vol. 2726. Springer, Heidelberg (2003)

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  3. Jolion, J.M., Montanvert, A.: The adaptive pyramid: a framework for 2D image analysis. Computer Vision, Graphics, and Image Processing: Image Understanding 55(3), 339–348 (1992)

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  4. Kropatsch, W.G.: Building irregular pyramids by dual graph contraction. IEEE Proc. Vision, Image and Signal Processing 142(6), 366–374 (1995)

    Article  Google Scholar 

  5. Meer, P.: Stochastic image pyramids. Computer Vision, Graphics, and Image Processing 45(3), 269–294 (1989)

    Article  Google Scholar 

  6. Melki, M., Jolion, J.M.: Building of symbolic hierarchical graphs for feature extraction. In: Hancock, E., Vento, M. (eds.) 4th IAPR International Workshop on Graph-Based Representations in Pattern Recognition, pp. 44–58. Springer, Heidelberg (2003)

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© 2005 Springer-Verlag Berlin Heidelberg

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Melki, M., Jolion, JM. (2005). Reduction Strings: A Representation of Symbolic Hierarchical Graphs Suitable for Learning. In: Brun, L., Vento, M. (eds) Graph-Based Representations in Pattern Recognition. GbRPR 2005. Lecture Notes in Computer Science, vol 3434. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-31988-7_9

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  • DOI: https://doi.org/10.1007/978-3-540-31988-7_9

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-25270-2

  • Online ISBN: 978-3-540-31988-7

  • eBook Packages: Computer ScienceComputer Science (R0)

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